1. ## help finding f'(0)

If f(x) = $e^xg$(x), where g(0) = 2 and g'(0) = 5, find f '(0).

2. Originally Posted by ryan18
If f(x) = $e^xg$(x), where g(0) = 2 and g'(0) = 5, find f '(0).
Hi ryan18,

$f(x)=e^xg(x)$

$f'(x)=g(x)\frac{d}{dx}e^x+e^x\frac{d}{dx}g(x)=g(x) e^x+e^xg'(x)$

$f'(0)=g(0)e^0+e^0g'(0)=g(0)+g'(0)$