Find h'(1) if h(x) = g(f(x)), g(x) = h'(1) = x + 1 x-1 . and f(x) = In(x). I

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

A: Answered first three subparts as per our company guidelines.

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 6, ƒ(6) = 2, ƒ'(6) = 6, ƒ'(5) = 12…

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Q: If f(x) = 6x'n (=), find f'(2).

A: We first take ln on both sides and expand the right side

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Let F(x) = f(x³) and G(x) = (f(x))5 . You also know that aª = 14, f(a) = 3, f'(a) = 13, f'(a³) = 14.…

A: Since we have the expression of F(x) and G(x) in terms of f(x), to find the derivative of both F(x)…

Q: Find f'(x). f(x) = (x+9)¯ -2 f'(x) = ☐

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 6x +8x2 + 3x f'(x) = f'"(x) = f3)…

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Q: Find f''(x). f(x) = (x² + 6) 4 f''(x) =

A: INTRODUCTION   Given function: f(x)=(x2+6)4 To determine: The value of the second derivative of the…

Q: Find  f '(x). f(x) = x2 − 8x − 2x−2 + 3x−3

A: The sum or difference rule: If f(x) and g(x) are two differentiable functions, then (f ± g)’ = f’ ±…

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: 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…

Q: Find f'(x). f(x) = In x +4ex-3x2 f'(x)=

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Q: Find f(x) such that f'(x) = 6x² − 6x and f(2) = 10. f(x) =

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

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Q: Let f(x) = f'(x) = = x+6 x +3 6

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Q: Suppose that f(x) and g(x) are functions with f '(2) = 5 and g'(2) = 3. Let h(x) =f(x) + 2g(x). What…

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