That's a pretty straight forward problem. You may be thinking it is harder than it is because, since u, v, and w are not present in the problem, the information you give: x=uv, y= sin(uv), z= ev is irrelvant. Please show us what you have done. In particular, what is the derivative of tan(x)?
As focus said, this is not at all "precalculus". I am going to move this to the "calculus and beyond" homework area.