f(i) = 5, f'(i) = -3i, g(i) = 3i, and g'(i) = 4. Find (fg)'(i).

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A: Given that:f(x)=36x4-5x313To find f'(x)

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A: Given query is to find the Indicated derivative.

Q: Use the figure below to calculate the derivative, g' (7) if g (x) = f¬1 (x). (2.1,7.4), f(x) (2 ,7 )…

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A: differentiate wrt to x

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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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 the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y