Correct Partial Derivatives: Double Check my Answers

[MissP.25_5]

Hello.
Can someone check if my partial derivatives are correct? I am not so confident with my answers.

 

[benorin]

Your $u_x$ is wrong, use product rule because you have a function of x times a function of x. For the others you can check them here:

http://www.quickmath.com/webMathematica3/quickmath/calculus/differentiate/basic.jsp