Given-two-functions-f-x-and-g-x-with-f-1-7-g-2-1-f-1-204-and-g-x-22-What-is-the-derivative-of-f-g-x-at-x-2-

Question Number 12576 by tawa last updated on 26/Apr/17

Given two functions f (x) and g (x) with f (1) = 7, g (2) = 1, f^{'} (1) = 204

and g^{'} (x) = 22 . What is the derivative of f (g (x)) at x = 2

Answered by mrW1 last updated on 26/Apr/17

\frac{d f}{d x} = \frac{d f (g)}{d g} \times \frac{d g (x)}{d x} = f^{'} (g (x)) \times g^{'} (x)

= f^{'} (g (2)) \times g^{'} (2) = f^{'} (1) \times g^{'} (2) = 204 \times 22

= 4488

Commented by tawa last updated on 26/Apr/17

God bless you sir .

Commented by tawa last updated on 26/Apr/17

God bless you sir .

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