Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2). (a) h(x) = 4f(x) – 5g(x) h'(2) = (b) h(x) = f(x)g(x) h'(2) = f(x) g(x) (c) h(x) h'(2) = g(x) 1 + f(x) (d) h(x) = h'(2) =

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F…

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Q: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). (a) h(x) = 3f(x) – 5g(x)…

A: Since, you have asked multiple parts in a single question, we would be answering only the first…

Q: If F(x) = f(g(x)), where f(-2) = 3, f '(-2) = 5, f '(-4) = 4, g(-4)= -2, and g'(-4)= 3, find F…

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Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Find f(x) if f' (x) = x5 - 7 divided by x5 , and f(2) =4

A: Given, f'(x)=x5-7 divided by x5and f(2)=4f'(x)=x5-7x5f'(x)=1-7x5—(1)

Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: If fix) = 4x and g(x) = x + 9, find (f o g) 'x) and g" '(1 'x). (fo g)" 'x) =D

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Q: Given f (5) = 2, f' (5) = 7, g (5) = -1, and g' (5) = 8, find the values of the following. %3D (a)…

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Q: 4x + 2x - If f(x) = | find f'(x) x4

A: Given that, f(x) = (- 4x5 - 4x4 + 2x3) / x4 And we have to calculative the first derivative of the…

Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: If F(x) = f(g(x)), where f(-1) = 9, f'(-1) = 3, f'(5) = 4, g(5) = -1, and g'(5) = 8, find F'(5). %3D…

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Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

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Q: If f(x) = 6, then f '(9) =

A: Given fx=6 To find f'9

Q: If F(x) = f(g(x)), where f(-5) = 4, f '(-5) = 8, f '(-1) = 5, g(-1) = -5, and g'(-1) = 3, find F…

A: Explained below...