Question need help to solve

[martinwong1212]

How to solve this question?

 

[Dr.Peterson]

Have you learned the Fundamental Theorem of Calculus, and the chain rule? Use them both.

If you have no example, see here.

 

[pka]

View attachment 15685

How to solve this question?

Suppose that \(\displaystyle f(x)\) is a differential function and \(\displaystyle g(x) = \int_0^{f(x)} {H(y)dy} \)
then \(\displaystyle g'(x)=f'(x)\cdot H(f(x))\)