y = cos 5t

Q: Use an appropriate form of the chain rule to find the derivative. R = e3s=t"; 3s-t2 s = 4ø, t= $/2…

A:

Q: Moreover, suppose F(x) = f(g(x)) and G(x) = g(f(x)). Use the chain rule to calculate the following…

A: f(x)=cot x  and  g(x)=5x-2

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the second order derivatives of the function cos3x

A:

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

A: y=57x3+1-3

Q: Compute the following derivatives using the chain rule. g(y) = ln(1 + y).

A: Take 1+y = t  And use chain rule

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

A:

Q: Find the derivatives of the functions in Exercises s = cos^4 (1 - 2t)

A: The given function is s=cos4 1-2t. Obtain the derivative as follows.

Q: find the partial derivative of the function withrespect to each variable.35. ƒ(t, a) = cos (2pit -…

A: The given question is taken from the partial derivative in which we have to find the partial…

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

A: The chain rule of two functions fx and gx is given by the following formula. ddxfg(x)=f'g(x)·g'(x)…

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

A: Here given as y=cos312θ

Q: Calculate the first four derivatives of y = x- 1. Then find the pattern and determine a general…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

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

A: Consider the function:  y=sin2x. Let u=2x  then  yu=sin u . Version two of chaon rule:…

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

A: We have to find the derivatives of the following function: y=sin 4x3+3x+1 We know the formula of…

Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find all second order derivatives for z= 9y e TX. %3D

A: Solution of question as follow

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

A: Given function is y=sin4 cosz. To find the derivative of the given functions. Solution: Chain rule…

Q: Find the derivatives of the functions y = (3 + cos3 3x)-1/3

A: Given that, y=3+cos33x-13

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 derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

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

A:

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

A:

Q: 5. Use the chain rule to find the derivatives of (a) y = log; V4 + 1 (b) y = (x – e-")²

A:

Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

A:

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".

A:

Q: f) Apply the Chain Rule in order to calculate the following derivatives: -(sin(a² + 1)) =

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y =…

A: given y=cos9θ+41

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

A: Given function y=cos4θ+sin4θ The version 2 of the chain rule is  dydx=ddxfgx       =f'gx·g'x Here…

Q: f. y=In(x8+1)

A: We will solve the problem

Q: Find the derivatives of the function defined as follows.

A:

Q: Identify which of the following functions require chain rule application to obtain their…

A: Chain rule is applicable for Composition of two functions only

Q: Find the derivatives of the functions s = cos4 (1 - 2t)

A: Given: st=cos41-2t we know that ddxxn=nxn-1…

Q: y = In (*+1) °(x+1), (x+2)3

A:

Q: Find tte implicit derivatives of the (x-y)3 = (x+y)2

A:

Q: Find the derivatives of the functions y = θ3e-2θ cos 5θ

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Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

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

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Q: Use the chain rule to find the derivative of: cos(7 + 8x)

A:

Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Find derivatives of the functions defined as follows: y = e4x

A: The derivative of function to be found out is y=e4x

Q: Use the Chain Rule to find the derivative. y = tan(θ + cos θ)

A: