f(3) = 5, g(3) = -4, f'(3) = -2, g'(3) = 7, f'(5) = 3, g'(5) = 10 a) If h(x) = f(x)g(x), find h'(3). b) If h(x) = f(x) find h'(3). g(x)+1' c) If h(x) = g(f(x)), find h'(3).

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: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

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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: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). (a) h(x) = 3f(x) – 5g(x)…

A: Since, you have asked multiple parts in a single question, we would be answering only the first…

Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

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: F''(x)=6x+4 and f'(-3)=-2 and f(-3)=-1 Find f'(x)= and find f(2)=

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Q: if f'(2) =3 and g'(2) =-2 Find h'(2) if h(x) = 2f(x)  F'(2) if F(x) = 3f(x) -4g(x)

A: To find the value of h'(2) and F'(2)

Q: If f is one-to-one and f(1) = 5, f(3) = 7, and f(8) : - 10, find f-'(7), ƒ¯'(5), and f¯'(-10).

A: f is one to one and given  f(1)=5    therefore f-1(5)=1 f(3)=7    therefore f-1(7)=3 f(8)=-10…

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: if f(2) = -3 , f'(2) = 4 g(2) =1 g'(2) = -5 then find F'(2) where F(x) = f(x) *g(x)

A: f(2)=-3, f'(2)=4, g(2)=1 and g'(2)=-5F(x)=f(x).g(x)

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: 4 2. y'--y=-2y² In x

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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: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

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Q: If find f'(x). ƒ'(x) = | Find f'(4). ƒ'(4) = f(x) = = 7-x² 8+x²

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

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Q: Given f''(x) = 3x + 3 and f'(-3) = 1 and f(-3) = 6. Find f'(x) = and find f(4) =

A: We want to find f'(x) and f(x) values first.

Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

A:

Q: Suppose F(x) = f(x³), G(x) = (f(x))³ and: a² = 10, f(a) = 3, f'(a)=4, ƒ'(a³) = 8. Find:

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Q: Given f''(x) = 6x + 5 and f'(0) = 6 and f(0) Find f'(x) and find f(3) = = = - 6.

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Q: Find F'(-3) given that f(-3) = -5, f'(-3) = -6, g(-3) = 4, g(-3) = -1, and F(x) = f(æ)g(x). F'(-3) =

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Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: Suppose f''(x) = 6x + 9e ƒ'(0) = - 8, and f(0) Then f(x) = = - - 3x - 5.

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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.

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