Suppose f'(2)=3, f'(5)=4 and let h(x) be the composite function h(x)=f($\displaystyle x^2$+1). Find h'(2). Do I need a formal proof and stuff?
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Originally Posted by tn11631 Suppose f'(2)=3, f'(5)=4 and let h(x) be the composite function h(x)=f($\displaystyle x^2$+1). Find h'(2). Do I need a formal proof and stuff? all you need is the chain rule ... $\displaystyle h(x) = f(x^2+1)$ $\displaystyle h'(x) = f'(x^2+1) \cdot 2x$ $\displaystyle h'(2) = f'(5) \cdot 4$
The reason I asked if it need a proof, and posted in the analysis section was because its out of an into to applied analysis book..but thank you!