Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

Q: find the derivative of y=4e^-2/t

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Q: Use the Chain Rule to find the derivative. y = sec 1/X

A: Differentiate: y=sec 1x. Apply chain rule: dydx=dydu·dudx Let u=1x dydx=dsec 1xd1x·d1xdx

Q: Find the derivative of the function.

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Q: Use the Chain Rule to find the derivative. y = sin(x2)

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Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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

A: y=57x3+1-3

Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: use the Chain Rule to find the derivative. y = cos3(e4θ )

A: Given: The function given is  y=cos3(e4θ)   To determine: The derivative of the function y=cos3(e4θ)…

Q: use the Chain Rule to find the derivative. y = cos3(12θ)

A: Here given as y=cos312θ

Q: Use the product rule to find the derivative of the following.

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx…

Q: Find the second order derivative of ycos³(2x).

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Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

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Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: FIND THE DERIVATIVE OF THE GIVEN 4.) f(x) = sec x ニ 5.) y= In「3-2メ |- 3x 6.) y= Inle-*+ xe-*)

A: 4. To find: The derivative of the function. Given: The function is secx. Calculation: Use the chain…

Q: Use the Chain Rule to find the derivative. y = cos3(e4θ )

A: We have given y=cos3e4θ Then, dydθ=dcos3e4θdθ=3cos2e4θ-sine4θ4e4θ=-12e4θsine4θcos2e4θ

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

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Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivative of the function y=2x+12x−1 at x=1.

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Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Find the derivative. y = In /x+7 y' = D

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Q: Use the Chain Rule to find the derivative. y = cos3(12θ)

A: Given function is y=cos312θ. To find the derivative of the given function using chain rule.…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: Find the derivative of the given function. y =x² Vx-

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Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: Find the derivative. y = In /x+5 y' =D

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Q: Find the derivative of y with respect to x. 1. x² + 4y² = 4ay

A: Given:   To find: Derivative of y w.r.t. x:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the following: 1. y=x(VT- x³)

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Q: Find the given flx), + 2x derivative of function. %3D a+x

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Q: Find the derivative of f (a) = e" (x² + 2).

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Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: Find the derivative of y= (x³-1) /(x-1). O a. 2x -1 O b. 2x -3 O c. 2x + 3 O d. 2x + 1

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Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find the derivative of the function y = x2x+1

A: We have to find derivative of the function: y=x2x+1  In this situation we use logarithmic property…

Q: Find the derivative of the function. y = x*V25 - x²

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Find the derivative of the function In t dt.

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Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: 3r %3D 5r + 2 – 1 (d) f(x) =

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Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: e2x %3D e2a + 1

A: