Question

Could someone check if this is right?

Answer 1

\[\frac{ d }{ dx }\int\limits_{0}^{f(x)} h(x')dx' = \left[ F(f(x) \right]'=F'(f(x)).f'(x)=h(f(x)).f'(x)\]
I set \[F(x)=\int\limits_{a}^{x}h(x')dx'\]

Answer 2

yes looks good