x(−2) = g(-2) = 4 x' (− 2) = g'(−2) = −5 y(-2) = h(-2) = 3 y'(-2) = h'(-2) = 7 Let z = F(t) = f(g(t), h(t)). Use the chain rule to calculated explanation necessary, but show all your work. = F' (t) at t= -2, x = 4, y = 3. No

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A:

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A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

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A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: |If f(x) = /7x + 10, find f'(x).

A: Given problem is :

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A: Given that:f(x)=36x4-5x313To find f'(x)

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A: differentiate wrt to x

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A:

Q: Find f'(x). 9 f(x) = x2 + 3x +

A:

Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: For f(x) = 8 find f'(x). f'(x) =D

A: Explanation of the answer is as follows

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A:

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

A:

Q: Differentiate the function and simplify the answer. f(x) = 2x e2r3+x²? Select one: f'(x) = 2e2x* +x²…

A:

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

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A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(5x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: Given fx=x5+2x5x5+5x-4c=0

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

A:

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

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A: We have to find derivatives of the given function.

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: For the function f(x) = -2ex, find f''(x), f''(0), f''(7), and f''(-9).

A: Solution :-

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A: Given :p(x)=9x7x2+1

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A:

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A:

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A: The given function is  f(x) = x2.sinx

Q: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

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A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

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A: