Question

How do you differentiate `f(x)=e^(5x^2+7x-13)`?

Answer 1

`f'(x) = e^(5x^2+7x-13)*(10x+7)`

Explanation:

By the Chain Rule, `d/dx(e^u)=e^u*(du)/dx`

Let `u=5x^2+7x-13` so `(du)/dx = 10x+7` so the derivative works out to `f'(x) = e^(5x^2+7x-13)*(10x+7)`.