Let y = (x + sin(x))". Find g(1) and f() so that y = (/o g)(x), and compute the derivative using the Chain f(z) = %3D g(1) = (fo g) =

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

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

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Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1 + ln t/1 - ln t

A:

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Find the derivative. y= In x+3 %3D

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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: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

A:

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: y = In- e 2x+1

A:

Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

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: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

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 derivative of function.

A:

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: 2х Find the second orfer derivatives of y=Tan" 1-x3

A:

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

A: Given- y=cos5t To use-  The Chain Rule to calculate the derivatives of the above function. Identity…

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: What is the derivative of * In(xy) = e"y – arccos(xy)?

A: We differentiate given equation

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: 1 14) Use the definition of derivative to find dx 3- х.

A:

Q: Find the derivative of y with respect to X. y = tan 1 5x 105x(1 + 5x) 2(1 + 5x/5x J1- 5x 1+ 5x

A: It is derivative.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

A:

Q: Find the derivative of y with respect to x. 1, 1+x2 In 1- x3 y

A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

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: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: Find the derivative of y with respect to z. y In (sinh 3z) y -

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Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: Find the derivative of y = x 1 cOS x 2

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Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: Find the derivative of g(x) = e-" cos(x²)

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Q: Find the derivative of the given function. y3Dcos dy

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Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

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

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Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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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: c. Find the derivative of y =+- et x3 cOS X 2

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (ln x)

A:

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: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

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Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

A: