Question
Let $h(x)=f(g(x)),$ where $f$ and $g$ are differentiable on their domains. If $g(1)=3$ and $g^{\prime}(1)=5,$ what else do you need to know to calculate $h^{\prime}(1) ?$
Step 1
By the chain rule of differentiation, the derivative of $h(x)$ is given by $h'(x) = f'(g(x)) \cdot g'(x)$. Show more…
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