Question
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). $
Step 1
The chain rule states that the derivative of a composite function is the derivative of the outside function evaluated at the inside function, multiplied by the derivative of the inside function. So, we have: \[F'(x) = f'(g(x)) \cdot g'(x)\] Show more…
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