Suppose f(x)=sin x, and let F(x)=f(e^x) and G(x)=e^f(x).
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1 Answer

F(x)=f(ex)=sin(ex), F'(x)=excos(ex).

G(x)=ef(x)=esin(x), G'(x)=cos(x)esin(x)

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