I am stuck in these problems.

1. $\displaystyle \frac{d}{dx} (\log\_2 x^8)$
2. $\displaystyle \frac{d}{dx} (e^x \ln x)$

I think for the first problem the answer is $\dfrac{2}{x^7}$, whereas for the second problem the answer is $x$.

These two are pretty simple, so I just want to make sure I got the hang of it. Thanks =]