If F(x) = f(6f(3f(x))), where f(0) = 0 and f'(0) = 2, find F'(0). F '(0) = X

Q: If f(x) = 8x + 2 x² + 7 find f'(x).

A: In this question, we will find the derivative of the function.

Q: If f(x) = (2x2 – 5)(2x + 2), find f '(x).

A:

Q: If f(x) = 9xh (2), find f'(9).

A:

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) = 6 + 3x - 4x², find f'(-1).

A: Given function is

Q: Find the function f(x) if f'(x) = ex+ 2 +(3/x) and f(1) = 6

A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: If f'(x) = 2x + 4 and f(0) = 2, then determine f (x). %3D %3D

A: Consider the given information f'x=2x+4 and f0=2. Integrate the function f'x=2x+4 with respect to x…

Q: Find f '(x) and f "(x). x2 7 + 4x f(x) =

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Q: Find f(x) if f'(x)= 7/x4 and f(1)=4

A: To find f(x) we integrate f'(x)

Q: Find f'(x). f(x)=(x5+1)-3

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Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

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Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

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Q: If f(x) = 8xm (=), find f'(10).

A: Solve the following

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

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Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: Find f. f(x) = f"(x) = 6 - 6x - 40x³, f(0) = 5, f'(0) = 7

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Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

A:

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

A: Given fx=6 To find f'9

Q: Find f if f'(x) = Va(6+5x) and f(1) = –6. f(x) =

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Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

A: