# Math Help - How do I set this derivative problem up for product rule?

1. ## How do I set this derivative problem up for product rule?

Consider the function f(x)=e5xg(x) , where g(0)=10 and g(0)=−3.
Find f(0).

2. ## Re: How do I set this derivative problem up for product rule?

Originally Posted by rhcprule3
Consider the function f(x)=e5xg(x) , where g(0)=10 and g(0)=−3.
Find f(0).
I am guessing that the problem is really $f(x)=e^{5x}g(x)$.

If so, then $f'(x)=5e^{5x}g(x)+e^{5x}g'(x)$.