Find the Derivative - d/dx y=xe^(3x) Step 1. Differentiate using the Product Rule which states that is where and . Step 2. Differentiate using the chain rule, which states that is where and . Tap for more steps... Step 2.1. To apply the Chain Rule, set as . Step 2.2.Use the inverse function theorem to find the derivative of g(x) = tan−1 x g ( x) = tan − 1 x. Hint. Answer. The derivatives of the remaining inverse trigonometric functions may also be found by using the inverse function theorem. These formulas are provided in the following theorem.Calculus. Find the Derivative - d/dx x^ (3x) x3x x 3 x. Use the properties of logarithms to simplify the differentiation. Tap for more steps... d dx [e3xln(x)] d d x [ e 3 x ln ( x)] Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = ex f ( x) = e ...Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graphWebThe derivative of x is just 1. Therefore: d dx [log3(x)] = 1 ln(3) ⋅ x. Answer link. d/dx (log_3x)=1/ (xln3) We can rewrite log_3x as ln (x)/ln (3). So, we really want d/dx (lnx)/ln3. Knowing that d/dxlnx=1/x, we get d/dx (lnx)/ln3=1/ (xln3). This gives rise to the general differentiation rule d/dxlog_ax=1/ (xlna).Derivative of e-3x by first principle. According to the first principle of derivative, the ln e^-3x derivative is equal to -3e^-3x. The derivative of a function by the first principle refers to finding a general expression for the slope of a curve by using algebra. It is also known as the delta method.About this unit. The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us …The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of ...Since 3 3 is constant with respect to x x, the derivative of 3x 3 x with respect to x x is 3 d dx [x] 3 d d x [ x]. Raise 3 3 to the power of 1 1. Use the power rule aman = am+n a m a n = a m + n to combine exponents. Differentiate using the Power Rule which states that d dx [xn] d d x [ x n] is nxn−1 n x n - 1 where n = 1 n = 1.May 26, 2023 · What is the derivative of 3 sin 3x? The derivative of 3 sin 3x is equal to the 9 cos 3x that is same as the derivative of sin (2x). What is sin 3x formula? The sine function is defined as the ratio of opposite sides by the hypotenuse of a triangle. The value of sin 3 x can be found using the trigonometric identity. sin 3x = 3sin x - 4sin 3 x. Derivative of e^3x using first principle. As we know that the derivative of a function f ( x) by first principle is the below limit. so taking f ( x) = e 3 x in the above equation, the derivative of e 3 x from first principle is. Let t = 3 h. Thus t → 0 when h → 0. = e 3 x × 1 × 3 as the limit of ( e t − 1) / t is one when t tends to zero.Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graphAbout this unit. The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us …What is the derivative of 3 sin 3x? The derivative of 3 sin 3x is equal to the 9 cos 3x that is same as the derivative of sin (2x). What is sin 3x formula? The sine function is defined as the ratio of opposite sides by the hypotenuse of a triangle. The value of sin 3 x can be found using the trigonometric identity. sin 3x = 3sin x - 4sin 3 x.Jul 12, 2023 · Derivative of e3x formula. The formula for the differentiation of e^(3x) is equal to the 3 multiplied by e^(3x). Mathematically, $\frac{d}{dx}(e^{3x}) = 3e^{3x}$ It is important to note that the derivative of e^(3x) is not the same as the derivative of e^(x), which is equal to e^(x). How do you prove the derivative of e3x? There are numerous ... Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, ... derivative-calculator. derivative 3x^2. en. Related Symbolab blog posts. Advanced Math Solutions – …WebFree derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.Aug 2, 2012 · By considering values of x near 3, we get some intuition about the derivative of 3x^2. 3x^2 The derivative of x^3 can be found using the power rule, which can be applied to polynomials of the form ax^n. When the coefficient of x is larger than one, the two numbers are multiplied together. The power rule states: d/dx[ax^n]=nax^(n-1) where a,n are constants So for the derivative of x^3, since the coefficient is 1, then the number does not change. The coefficient is 3 because 1 ...The Derivative Calculator supports computing first, second, …, fifth derivatives as well as differentiating functions with many variables (partial derivatives), implicit differentiation and calculating roots/zeros. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions. The function can be found by finding the indefinite integral of the derivative. Step 3. Set up the integral to solve. Step 4. Since is constant with respect to , move out of the integral. Step 5. The integral of with respect to is . Step 6. Simplify. Step 7. The answer is the antiderivative of the function.Find the 3rd Derivative 3x^3. Step 1. Find the first derivative. Tap for more steps... Step 1.1. Since is constant with respect to , the derivative of with respect to is . Step 1.2. Differentiate using the Power Rule which states that is where . Step 1.3. Multiply by . Step 2. Find the second derivative.Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing tool. The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of ...Derivatives: definitions, notation, and rules. A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, the result is the slope of the original function y = f (x).Since 3 3 is constant with respect to x x, the derivative of 3x 3 x with respect to x x is 3 d dx [x] 3 d d x [ x]. Raise 3 3 to the power of 1 1. Use the power rule aman = am+n a m a n = a m + n to combine exponents. Differentiate using the Power Rule which states that d dx [xn] d d x [ x n] is nxn−1 n x n - 1 where n = 1 n = 1.WebFree derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph. How do you find the derivative of #e^(-3x)#? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 2 AnswersSymbolab is the best derivative calculator, solving first derivatives, second derivatives, higher order derivatives, derivative at a point, partial derivatives, implicit derivatives, derivatives using definition, and more. Is velocity the first or second derivative? Velocity is the first derivative of the position function.Derivative of e-3x by first principle. According to the first principle of derivative, the ln e^-3x derivative is equal to -3e^-3x. The derivative of a function by the first principle refers to finding a general expression for the slope of a curve by using algebra. It is also known as the delta method.Hemoglobin derivatives are altered forms of hemoglobin. Hemoglobin is a protein in red blood cells that moves oxygen and carbon dioxide between the lungs and body tissues. Hemoglobin derivatives are altered forms of hemoglobin. Hemoglobin i...Using the definition of the derivative, the derivative of x^3 can be found. After simplifying the function and taking the limit, the derivative of x^3 is found to be 3x^2. Calculus . …Find the derivative of \(h(x)=\dfrac{3x+1}{4x−3}\). Hint. Apply the quotient rule with \(f(x)=3x+1\) and \(g(x)=4x−3\). Answer \(h′(x)=−\dfrac{13}{(4x−3)^2}.\) It is now possible to use the quotient rule to extend the power rule to find derivatives of functions of the form \(x^k\) where \(k\) is a negative integer.Webf (g (x)) = e^3x ⇒ f' (g (x)) = e^3x. = 3e^ (3x) Using the chain rule, the derivative of e^3x is 3e^3x. Finally, just a note on syntax and notation: the exponential function e^3x is sometimes written in the forms shown below (the derivative of each is as per the calculations above). Just be aware that not all of the forms below are ...WebHow to calculate the derivative of ln(3x) There are two methods that can be used for calculating the derivative of ln(3x). The first method is by using the chain rule for derivatives. The second method is by using the properties of logs to write ln(3x) into a form which differentiable without needing to use the chain rule.WebFind the derivative of \(h(x)=(2x+1)^5(3x−2)^7\). Solution. First apply the product rule, then apply the chain rule to each term of the product.Find the Derivative - d/dx y = square root of 3x. Step 1. Simplify with factoring out. Tap for more steps... Step 1.1. Use to rewrite as . Step 1.2. Factor out of . Step 1.3. Apply the product rule to . Step 2. Since is constant with respect to , …In terms of the derivative f' of f express the derivative of f(3x). The solution is: $\frac{d}{dx} f(3x)=(f'(3x))(3)=3*f'(3x)$ I don't understand the question. The derivative of f is 3. f' is 3. 3*f' is 9? We want to express the derivative of f in terms of f'. The derivative of f is 3. What is the question asking?Result: the derivative of x 3 is 3x 2. Have a play with it using the Derivative Plotter. ... We get a wrong answer if we try to multiply the derivative of cos(x) ... Section 4.3 Derivative Rules ¶ Using the definition of the derivative of a function is quite tedious. In this section we introduce a number of different shortcuts that can be used to compute the derivative. Recall that the definition of …Thus, let the volume be V (x) = x3. By differentiating the volume of the cube, we are actually reducing its dimension from 3 to 2. The result is V '(x) = 3x3−1cm3−1. V '(x) = 3x2cm2. Notice we differentiate both the function and its unit. Now, its power has decreased to 2, and its unit is now cm squared instead of cm cubed.Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph. At first, we will evaluate the derivative of sin 3x by the substitution method. We need to follow the below steps. Step 1: Let y = sin 3 x. Step 2: Applying sine inverse on both sides, we have. sin − 1 y = sin − 1 sin 3 x. ⇒ sin − 1 y = 3 x. Step 3: Differentiating with respect to x, we get.The derivative of f is going to be 2 times 3x squared is just 6x squared. Negative 7 times 2x is negative 14x plus 3. And we don't have to write the 0 there. And we're done. We now have all the properties in our tool belt to find the derivative of any polynomial and actually things that even go beyond polynomials.Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph. EXAMPLE3.1.2 Find the derivative of y= x−3. Using the formula, y′ = −3x−3−1 = −3x−4. Here is the general computation. Suppose nis a negative integer; the algebra is easier to follow if we use n= −min the computation, where mis a positive integer. d dx xn = d dx x−m = lim ∆x→0 (x+ ∆x)−m −x−m ∆x = lim ∆x→0 1 ...An online derivative calculator helps to find the derivative of the function with respect to a given variable and shows you the step-by-step differentiation. For better understanding, you can take a look at the given examples to differentiate the function. You can use this differential calculator to simplify first, second, third, or up to 5 ...Aug 2, 2012 · By considering values of x near 3, we get some intuition about the derivative of 3x^2. Apr 28, 2022 · What is the derivative for 3x-1? The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. 2 Oct 2020 ... How do you use the definition of the derivative? Use the definition of the derivative to find the derivative of f(x)=-3x^2+4 with respect to ...Aug 5, 2020 · f (g (x)) = e^3x ⇒ f' (g (x)) = e^3x. = 3e^ (3x) Using the chain rule, the derivative of e^3x is 3e^3x. Finally, just a note on syntax and notation: the exponential function e^3x is sometimes written in the forms shown below (the derivative of each is as per the calculations above). Just be aware that not all of the forms below are ... The derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f (x) f ( x), there are …Calculus. Find the Derivative - d/dx x^ (3x) x3x x 3 x. Use the properties of logarithms to simplify the differentiation. Tap for more steps... d dx [e3xln(x)] d d x [ e 3 x ln ( x)] Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = ex f ( x) = e ...The derivative of sin3x with respect to x is 3cos(3x), represented as d/dx(sin(3x)). This formula represents the rate of change of the trigonometric function sin 3x. In a triangle, sin x is defined as the ratio of the opposite side to the hypotenuse that makes it a fundamental concept in trigonometry.Websum convergence of 1/n. sum convergence of u/ (u^2+1) for u=1 to infinity. Step-by-step solutions for calculus: derivatives, partial derivatives, derivatives at a point, indefinite integrals, definite integrals, multivariate integrals, limits, optimization, tangent lines and planes, continuity, inflection points, area between curves, arc length ...Nov 21, 2021 · At first, we will evaluate the derivative of sin 3x by the substitution method. We need to follow the below steps. Step 1: Let y = sin 3 x. Step 2: Applying sine inverse on both sides, we have. sin − 1 y = sin − 1 sin 3 x. ⇒ sin − 1 y = 3 x. Step 3: Differentiating with respect to x, we get. Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE ... +\frac{3x}{2} Show More; Description. Simplify ...The derivative of e^(3x) is equal to three times e to the power of three x. In mathematical terms, the equation can be expressed as d/dx e^(3x) = 3e^(3x). The derivative of e^(3x) can be found using the chain rule, in which e^(3x) is writte...What is the derivative for 3x-1? The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0.About this unit. The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us …Let's dive into the process of differentiating a composite function, specifically f(x)=sqrt(3x^2-x), using the chain rule. By breaking down the function into its components, sqrt(x) and 3x^2-x, we demonstrate how their derivatives work together to make differentiation easier.Use the inverse function theorem to find the derivative of g(x) = tan−1 x g ( x) = tan − 1 x. Hint. Answer. The derivatives of the remaining inverse trigonometric functions may also be found by using the inverse function theorem. These formulas are provided in the following theorem. Derivative of 3x. How to find the derivative of 3x using a simple formula for constant functions. Follow along using the transcript.The derivative tan^3x with respect to the variable x is given by the expression 3tan^2(x)sec^2(x), which is denoted by d/dx(tan^3(x)). This represents the rate of change of the trigonometric function tan x, which is …Web22 June 2021 ... Click here to get an answer to your question ✍️ What is the derivative of 3x?The derivative of sin^3x (read as sin cube x) is equal to 3 sin 2 x cosx. To prove the formula for the derivative of sin cube x, we will use the method of the chain rule. We use the power rule of differentiation given by d (x n )/dx = nx n-1 the formula for the derivative of sinx that is given by d (sinx)/dx = cosx. Using these formulas, we have.WebFree derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.Derivative of a Constant lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function. It is easy to see this geometrically. Referring to Figure 1, we see that the graph of the constant function f(x) = c is a horizontal line.Find the derivative with the power rule, which says that the inverse function of x is equal to 1/2 times x to the power of a-1, where a is the original exponent. In this case, a is 1/2, so a-1 would equal -1/2. Simplify the result. To use the chain rule to differentiate the square root of x, read on!Calculus Find the Derivative - d/dx x^ (3x) x3x x 3 x Use the properties of logarithms to simplify the differentiation. Tap for more steps... d dx [e3xln(x)] d d x [ e 3 x ln ( x)]Solve General derivatives problems with our General derivatives calculator and problem solver. Get step-by-step solutions to your General derivatives problems, with easy to understand explanations of each step. Skip Navigation. Chegg. ... 3 e 3 x ⋅ e − 2 x + 5 = 2 3e^{3x} \cdot e^ ...Calculus. Find the Derivative - d/dx arccos (3x) arccos (3x) arccos ( 3 x) Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = arccos(x) f ( x) = arccos ( x) and g(x) = 3x g ( x) = 3 x. Tap for more steps... − 1 √1−(3x)2 d dx [3x] - 1 1 - ( 3 ...Derivative of sin(3x) 3cos3x: Derivative of sin2x: 2cos2x: Derivative of sin^2x: 2sinx cosx: Derivative of cos^3x-3sinx cos^2x: Derivative of sin(3x+1) 3cos(3x+1) Derivative of sin^4x: 4sin^3x cosx: Derivative of cotx-csc^2x: Derivative of tan2x: 2sec^2(2x) Derivative of sec^2x: 2tanxsec^2x: Derivative of 2x: 2:The chain rule of partial derivatives is a technique for calculating the partial derivative of a composite function. It states that if f (x,y) and g (x,y) are both differentiable functions, and y is a function of x (i.e. y = h (x)), then: ∂f/∂x = ∂f/∂y * …Derivative of Sin3x by Chain Rule Method. The chain rule states that we must differentiate the expression as if it were merely in terms of x in order to execute the differentiation of \(sin(3x)\), as long as we multiply that result by the derivative of what the expression is actually in terms of (in this case the derivative of \(3x\)).Nov 2, 2020 · So to find the second derivative of sin (3x), we just need to differentiate 3cos (3x) We can use the chain rule to find the derivative of 3cos (3x) and it gives us a result of -9sin (3x) The second derivative of sin (3x) is -9sin (3x) Posted in Trigonometric Functions. Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.Nov 21, 2021 · At first, we will evaluate the derivative of sin 3x by the substitution method. We need to follow the below steps. Step 1: Let y = sin 3 x. Step 2: Applying sine inverse on both sides, we have. sin − 1 y = sin − 1 sin 3 x. ⇒ sin − 1 y = 3 x. Step 3: Differentiating with respect to x, we get. The derivative tan^3x with respect to the variable x is given by the expression 3tan^2(x)sec^2(x), which is denoted by d/dx(tan^3(x)). This represents the rate of change of the trigonometric function tan x, which is the ratio of the sine and cosine functions in a triangle.How to find the derivative of 3x using a simple formula for constant functions.WebFree implicit derivative calculator - implicit differentiation solver step-by-stepWebSection 4.3 Derivative Rules ¶ Using the definition of the derivative of a function is quite tedious. In this section we introduce a number of different shortcuts that can be used to compute the derivative. Recall that the definition of …The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice …14 June 2022 ... Awesome video describing derivatives using the power rule. Big thanks to @3blue1brown's Grant Sanderson for making ManimGL available to all ...16 May 2022 ... Calculus: Derivative of y = 6^{3x - 4} If you enjoyed this video please consider liking, sharing, and subscribing.Nov 2, 2020 · So to find the second derivative of sin (3x), we just need to differentiate 3cos (3x) We can use the chain rule to find the derivative of 3cos (3x) and it gives us a result of -9sin (3x) The second derivative of sin (3x) is -9sin (3x) Posted in Trigonometric Functions. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3. What is the derivative for 3x 1? If y = 3x +- 1, the derivative with respect to x is y' = 3. Derivative of y sin 3x 5? The derivative of y = sin(3x + 5) is 3cos(3x + 5) but only if x is measured in radians.WebThe procedure to use the derivative calculator (differentiation calculator) is as follows: Step 1: Enter the function in the respective input field and choose the order of derivative. Step 2: Now click the button “Calculate” to get the derivative. Step 3: The derivative of the given function will be displayed in the new window.derivative 2e^{3x} en. Related Symbolab blog posts. Middle School Math Solutions – Polynomials Calculator, Factoring Quadratics. Just like numbers have factors (2×3=6), …ETF strategy - VELOCITYSHARES 3X LONG GOLD ETN LINKED TO THE S&P GSCI® GOLD INDEX ER - Current price data, news, charts and performance Indices Commodities Currencies StocksFree derivative with respect to (WRT) calculator - derivate functions with respect to specific variables step-by-step.How do you find the derivative of #3/x^2#? Calculus Basic Differentiation Rules Power Rule. 1 AnswerThe process of determining the derivative of a given function. This method is called differentiation from first principles or using the definition. Worked example 7: Differentiation from first principles. Calculate the derivative of \ (g\left (x\right)=2x-3\) from first principles. Write down the formula for finding the derivative using first ...\frac{d}{dx}(\frac{3x+9}{2-x}) \frac{d^2}{dx^2}(\frac{3x+9}{2-x}) (\sin^2(\theta))'' derivative\:of\:f(x)=3-4x^2,\:\:x=5; implicit\:derivative\:\frac{dy}{dx},\:(x-y)^2=x+y-1 …At first, we will evaluate the derivative of sin 3x by the substitution method. We need to follow the below steps. Step 1: Let y = sin 3 x. Step 2: Applying sine inverse on both sides, we have. sin − 1 y = sin − 1 sin 3 x. ⇒ sin − 1 y = 3 x. Step 3: Differentiating with respect to x, we get.Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepWebMay 26, 2023 · Derivative of e-3x by first principle. According to the first principle of derivative, the ln e^-3x derivative is equal to -3e^-3x. The derivative of a function by the first principle refers to finding a general expression for the slope of a curve by using algebra. It is also known as the delta method. From above, we found that the first derivative of e^-3x = -3e^ (-3x). So to find the second derivative of e^-3x, we just need to differentiate -3e -3x. We can use the chain rule to calculate the derivative of -3e -3x and get an answer of 9e -3x. The second derivative of e^-3x = 9e^ (-3x)Find the 3rd Derivative 3x^3. Step 1. Find the first derivative. ... Since is constant with respect to , the derivative of with respect to is . Step 3.2. For the second derivative, we need the chain rule. First, note that we have a function cubed: ln^3x=(lnx)^3. Through the power rule, d/dxx^3=3x^2, but if there were a more complex function instead of x we see that d/dxu^3=3u^2(du)/dx--that is, we still do the power rule but then multiply by the derivative of the inner function.WebFind the derivative of the following: (5x3+3x−1) (x−1). Standard XI. Mathematics. NCERT. Derivative from First Principle.The derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f (x) f ( x), there are …The derivative tan^3x with respect to the variable x is given by the expression 3tan^2(x)sec^2(x), which is denoted by d/dx(tan^3(x)). This represents the rate of change of the trigonometric function tan x, which is the ratio of the sine and cosine functions in a triangle.The derivative of e^(3x) is equal to three times e to the power of three x. In mathematical terms, the equation can be expressed as d/dx e^(3x) = 3e^(3x). The derivative of e^(3x) can be found using the chain rule, in which e^(3x) is writte...18 Sept 2023 ... Share your videos with friends, family, and the world.The derivative tan^3x with respect to the variable x is given by the expression 3tan^2(x)sec^2(x), which is denoted by d/dx(tan^3(x)). This represents the rate of change of the trigonometric function tan x, which is …WebFree derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph. The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ... Find the derivative with the power rule, which says that the inverse function of x is equal to 1/2 times x to the power of a-1, where a is the original exponent. In this case, a is 1/2, so a-1 would equal -1/2. Simplify the result. To use the chain rule to differentiate the square root of x, read on!The Derivative Calculator supports computing first, second, …, fifth derivatives as well as differentiating functions with many variables (partial derivatives), implicit differentiation and calculating roots/zeros. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions.May 23, 2023 · The derivative of a function expresses the function’s rate of change in relation to the change in the variable. The derivative of cos3x is equal to -3 sin3x. The derivative of cos3x can be found using various. 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