Let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 3, h'(1) = 5, g'(2) = 3, and f(3) = 6. Find r'(1). r'(1) =

Q: A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

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Q: Let F(x) = f(r") and G(x) = (f(x))³ and suppose that at = 12, f(a) = 3, f'(a) = 2, f'(a²) = 3 Find…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that Find F'(8) and G'(8). = F'(8) = G'(8) = ƒ(8)…

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Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Let r(x) = f(g(h(x))), r'(1) = where h(1) 2, g(2) = 3, h'(1) = 4, g'(2) = 5, and f '(3) = 6. Find…

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Q: Find g'(3) given that f(3) = -4, f'(3) = 5, and g(x) = f(x). X Answer:

A: Given query is to find indicated.

Q: Let F(#) f(/(=)) and G(r) =(F(2))2 and suppose that f(5) = 6, f(6) = 3, f'(6) = 7, f'(5) = 15 Find…

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Q: g(x)= 2f(x) +3, find g'(4) given that f'(4)=5.

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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: Find g'(8) given that f(8)=-5,f'(8)=9, and g(x)=7x+1/f(x).

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Q: Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

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Q: Find g'(4) given that f(4) = -1 , f'(4) = -2 , and g(x) = Vãƒ(x).

A: Use the product rule to find the derivative of the function:

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…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that Find F'(3) and G'(3). F'(3) G'(3) = = f(3) =…

A: Given,  F(x)=f(f(x)) and .Given, f(3)=9, f(9)=3, f'(9)=4, f'(3)=15

Q: f(g(x)), where f(1) = 3, f '(1) = 5, f '(2) = 5, g(2) = 1, and g'(2) = 5, find F '(2). If F(x) F…

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Q: If f(x)=3(x²) =e , then find f'(x)=

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