Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(8) = 11, ƒ(11) = 2, ƒ'(11) = 5, ƒ'(8) = 3 Find F'(8) = = and G'(8) =

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

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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…

A:

Q: Find h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

A:

Q: If  f(x) = x2/(1+ x) , find f" (1)

A: We use quotient rule to find f'(x)

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A: The function fx=5+5x3 To find f-1-5

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…

A:

Q: If f(x)= 3x2-5x+2, Find f'(x) ALGEBRAICALLY

A: We have to find f'(x) algebraically.

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

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

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A: Given that: f(x)=4x2

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: Suppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

Q: If ƒ(x) = ƒ'(x) = f'(5) = 7x+2 6x + 2 "" find:

A:

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

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.

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Q: ng the table below. 3 4 3 1 4 3 3 2 1 2

A: We have to find the value of the given following conditions according to the given information

Q: If 11 + 2f(x) + æ²(f(x))³ = 0 and f(-3) = –1, find f'(-3). f'(-3) =

A: We have to find f'-3 where it is given that: 11+2 fx+x2fx3=0 and f-3=-1. We know the formula of…

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

A:

Q: Suppose that ƒ(x) and g(x) are two functions and we know that: ƒ(-3) = 2 g(-3) = 5 ƒ'(−3) = −1…

A: Suppose that fx and gx are two functions and we know that,  f-3=2g-3=5f'-3=-1g'-3=-2 To find the…