Nope, not correct. You forgot to apply the chain rule.
We know that:
But this time our exponent is , not . So what we must do is substitute. Let . Then:
But we can't stop there! What we have taken is . To get , we have to multiply by , thusly:
So, what is ? Well, that's simple enough to find:
And, so, our answer is:
In the future, you can skip writing down everything and just use this chain rule in your head.