8. (Standard C5: Chain rule) Compute the derivative of h(x) = tan(vT). Show all of your work. You do not need to simplify your answer.

Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

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Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: Use the Chain Rule to express the second derivative off o gin terms of the first and second…

A: Let y=f o g then we have to find the second derivative of y.

Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Solve for the derivative of the Hyperbolic Differentiation. 1. y = ex cos h 2x 2. y = ln sin h x…

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Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

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Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: 10. f(x) = cos (2x)e*²-1

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Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: y = Arctan√3x−4/4 2. y = 2 Arccos ( 1 -x/2) + √4x − x2 3. y = ln (x3(x−1)/(x−2)^2) 4. y…

A: d2dx2arctan3x-44=d2dx2arctan3x-42=ddx1x3x-4=-9x-82x23x-43x-4…

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: Given function: y=etan t Differentiate the above function w.r.t 't' dydt=ddtetan t The function…

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y = 5x + 8x - 3x +4

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Q: 2. use the fundemental derivative formula to differential the folwing at x=2 • gex) = 3x-1 2メ+1 (1o…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2. Determine the second derivative of f(x) = x²e²* at x = -2 with a step-size of h=0.50 using…

A: Given function f(x)=x2e2x. The objective is to determine the second derivative of fx at x=-2 with a…

Q: How do I find the derivative of this problem?

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Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: What is the derivative of y = e3 In(5 + e3)? %3D

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Q: 9. Find the derivative of the function using chain rule. f(t) = 3t In t

A: To find the derivative of the function

Q: (b) Use implicit differentiation by partial derivative to solve for dx of the function 5x + xy 4y.

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Q: Can you help me step by step with this problem?

A: Given,

Q: Example 2: by using the definition of the derivative, find dy/dx of the function y 5x' + 8x - 3x +4

A: We can use definition of limit In order to solve the given problem.

Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x…

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Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: Calculate the derivative of the following function. y= sin (cos (3x)) If the Chain Rule only needs…

A: In the question we have to find derivative of the given function.

Q: k(x) = x In x %3D

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Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: 2) Use the Chain Rule to express the second derivative of ƒ • g in terms of the first and second…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Given: y=∫x22x2lnt dt

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

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Q: In x g(x) = 2

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