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Let h(x)=f(g(x)). If f(3)=−2, f′(3)=4, g(−5)=3, and g′(−5)=−6, find h′(−5).Do not include "h′(−5)=" in your answer.

Question

Let h(x)=f(g(x)). If f(3)=−2, f′(3)=4, g(−5)=3, and g′(−5)=−6, find h′(−5).

Do not include "h′(−5)=" in your answer.

check_circleAnswer
Step 1

By, chain rule of differentiation of composite function ,we have

If h(x)=f(g(x)), then h'(x)=f'(g(x))g'(x)

T...

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Calculus

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