Find the terms through $\displaystyle x^6$ in the Maclaurin series for f(x)

$\displaystyle f(x)=e^x sin(x)$

I'm not sure where to start this problem. I also have

$\displaystyle f(x)=\dfrac{1}{1+x+x^2}$

but perhaps with help to the first I will be able to solve the second. If you have time tho help/ hints would be appreciated. Thank you.