Thread: Partial derivation

What's the following partial derivation:

Originally Posted by totalnewbie

What's the following partial derivation:

z = (sinx)^cosy, we want dz/dx. this means we treat y as a constant and differentiate with respect to x

=> dz/dx = cosy(sinx)^(cosy - 1) * (cosx)
=> dz/dx = cosxcosy(sinx)^(cosy - 1)