Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for f(x) = ax¹ + cx + b F'(x) I (b) g(x) for g(x) g(x) - A(X) IL (c) h (x) for h(x) = 13e" - w (x) TE H 1 = EI (d) w (x) for w(x) = (1) 11 十 (+)*+√

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: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

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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: Determine h(1) and h'(1). h(x) = [f (x)]2

A: The function h(x) is a composite function since its input is another function f(x). Now h(x)=[f(x)]2…

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: Consider the function f(x) = (g(x)h(x))^2 and the following function values: f(5) = 1 g(5) = −1…

A: Given: f(x)=[g(x)h(x)]2f(5)=1g(5)=−1h(5)=2g'(5)=3h'(5)=4f'(5)=?

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

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

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Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 1 8 7 2 X 1 2 3 (a) If h(x) =…

A: A table of values for f, g, f', and g' is given. x fx gx f'x g'x 1 3 2 4 6 2 1 8 5 7 3 7 2…

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 f'(t) for f(x)=x/8x-8

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

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

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Suppose F(x) = x² · g(x). Find the value of F'(-2) if the following values are known: g(-2) = 3,…

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Q: Find g'(x) if g(x) = 4xe 9x

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