For $\displaystyle f(x,y) = x^2cos(y) - \frac{x^3}{y^2} + x^y $

Find..... $\displaystyle f_x, f_y, f_x_x, f_y_y, f_x_y, f_y_x $

I know how to do this expect i am running into trouble with the $\displaystyle x^y$ term.

so the x partial derivative ($\displaystyle f_x$) of $\displaystyle x^y$ is .... $\displaystyle x^yln(x)$ ????

and the y partial derivative ($\displaystyle f_y$) of $\displaystyle x^y$ is .... $\displaystyle x $ ????

Thank you