5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the derivative of (fgh)(x) = (f(x)) (9(2))(h(z)) at x 3.

Q: If f(x) = x5(4x + 5)6, compute the first and second derivatives of f(x). f'(x) = f"(x) =

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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: Find the derivative of f(x)) at x = 3 if f(3) = 2, g(3) = = 5, f'(3) = 7, and g'(3) = 4.

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Q: Let f(1) = 6, f'(1) = 7, g(1) = 4, g'(1) = 5, f(6) = 2, and f'(6) = 5. Calculate the following…

A: Use the chain rule of derivative and put x=1 than simplify using only those values which requires.

Q: if f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1, then the derivative of f(x).g(x) evaluated at x =…

A: Given: f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1

Q: If f(x) = (3x + 1)5, compute the second derivative f'(x) at x = 0. f"(0) =

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Q: In this question, the function f is differentiable, and f' (x) = g(x). We don't know exactly what…

A: (a) Consider the formula of the chain rule. Use chain rule to compute the derivatives.

Q: 5. Find the derivative of y= x' +2x -1

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Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h' (0) = 4 find F'(0). F'(0)

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Q: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

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Q: Find the derivative of C(x) C'(x) = C

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Q: If f(x) = (3x + 8), find f'(x). %3D Find f'(1).

A: Note some formule:

Q: If f(x) = = f'(x) = f"(x) = 4x 5x2 +7 compute the first and second derivatives of f(x).

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Q: 2. Let f(x) = cos(x). We will take derivatives of this function over and over. (a) Evaluate the…

A: Using standard formula of derivatives.

Q: Given f(5) = 3, f'(5) = -1, g(5)= 2, g'(5) = 1, f(2) = -4, f'(2) = 6, find the derivatives of the…

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Q: Given f''(x) = 4x + 3 and f'(- 2) %3D -4 and f( — 2) Е — 2.

A: Given,          f''x=4x+3  and  f'-2=-4  and  f-2=-2.