Let F(x) = f(x³) and G(x) = (f(x))³ and suppose that a? = 14, f(a) = 3, f'(a) = 15, f'(a³) = 8 Find F' (a) and G'(a). F'(a) =| G'(a) =|

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) = (x³ + 3x + 7)3 f'(x) = f'(4) =

A: According to question given thatf(x)=(x3+3x+7)3

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: x+f(x) g(x) then find h'(2). If h(x) =. and f(2) = 2, f'(2) = - 5, g(2) = 1, g'(2) = 0,

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Q: Given f''(x) = 3x 5 and f'(0) = 5 and f(0) = 3. Find f'(x) = and find f(2)= =

A: Given:         f''x=3x-5           f'0=5 and f0=3  Here integral is an antiderivative function.…

Q: Suppose F(x) = f(x6), G(x) = (f(x)) and: a³ = 4, f(a) = 3, f'(a) = 15, f'(aº) = 10. Find: (a) F'(a)…

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Q: find f'(x) and f"(x). : If f(x) x² +3 f'(x) = f"(x) =

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Q: Find f'(x), f''(x), and flo (x) for the following function. f(x) = 2ex f'(x) = f"(x) =O %3D A3) (x)…

A: The given function is f(x)=2ex

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: 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: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5…

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ;…

Q: 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) =…

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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: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8…

A: If we consider a function y which is a function of x only. Then, the derivative of y with respect to…

Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: If F(x) = f(g(x)), where f(-1) = 9, f'(-1) = 3, f'(5) = 4, g(5) = -1, and g'(5) = 8, find F'(5). %3D…

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Q: Let F(x) = f(x*) and G(x) = (f(x))* . You also know that a' = 11, f(a) = 2, f'(a) = 2, f'(a*) = 11…

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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: 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…