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

• October 5th 2013, 07:52 PM
rhcprule3
How do I set this derivative problem up for product rule?
Consider the function f(x)=e5xg(x) , where g(0)=10 and .
Find .
• October 5th 2013, 08:02 PM
Plato
Re: How do I set this derivative problem up for product rule?
Quote:

Originally Posted by rhcprule3
Consider the function f(x)=e5xg(x) , where g(0)=10 and ghttp://webwork.morris.umn.edu/webwor...100/char30.png(0)=−3.
Find fhttp://webwork.morris.umn.edu/webwor...100/char30.png(0).

I am guessing that the problem is really $f(x)=e^{5x}g(x)$.

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