hey guys, quick question, how do you use the product rule to differentiate something with more than 2 terms... for example:
3x^2y^3
I think I'm finally gettin the hang of this stuff guys thanks for all the help
That is two terms, but say you have the following...
$\displaystyle \sin(x)e^x x^2$
This is a product of three terms. You always split products into two terms like so:
$\displaystyle \sin(x) * e^x x^2$
The derivative follows the product rule TWICE over...
$\displaystyle \cos(x) e^x x^2 + (e^x x^2)' \sin(x) $
$\displaystyle \cos(x) e^x x^2 + \sin(x)(e^x x^2 + 2x e^x) $