I'm not really sure how to do this at all. My professor didn't really go over this that well and this is one of the few topics I don't understand on tomorrow's Calc III exam.

Find dw/dt by two methods and compare the results when t = 1

w=sqrt(z)-y/x, where x = 2t, y =3t and z = e^2t

so im sure that i take the partial derivs and then what?