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

Question

3491 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-29T00:35:47

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

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

How do you differentiate f(x)=e^(5x^2+7x-13)f(x)=e5x2+7x−13f(x)=e^(5x^2+7x-13)?