I have covered both, but I can't ever remember the rules about them... I usually end up looking them up and learning them again (with varying success) every time I need them.

My work:

If I'm not mistaken, I'm using the product rule because xlnx is to weird to derive from.

Simplify...

Derive?

Yes!? Point for me? It looks right...

On to round 2...

I think I'm doing the same thing? But I don't know how I'll end up with the (1+x)

That seriously looks wrong... I don't know what rule I'm using to split the xe^x and that's what I think I'm getting stuck on.

Again, the root fraction question.

My work:

Take derivative

Now use the chain rule

Is this yet another (longer) product rule?

I think that made it worse. Unless I simplify?

I realized I can simplify sooner?

Second try:

Take derivative

Now use the chain rule

Simplify

Didn't help.