Differentiate the following:

1.

2.

My attempt for 1:

First I rewrite to get rid of the radical:

Then I start differentiating using product rule:

Then chain rule:

After simplifying:

My attempt for number 2:

First I rewrite the equation to get rid of the fraction:

Then I begin to differentiate using product rule:

Chain rule:

After simplifying:

What have I done wrong in my calculations? To check that I'm correct, I plug in random and find the slopes of the tangent to those points and check if the functions have been derived correctly through a graphing program. Unfortunately, I am way off. Thanks for any help in advance.