Question

Find dy/dx if y=cos(cosx)

Answer 1

2 derivatives you have to calculate. Cos by itself and the inside angle of cos, which is also cosine. These two results you multiply. So the first, outer cosine, just becomes -sin. The inside angl doesnt change, so I still write -sin(cosx). Now I multiply by the derivative of the inner angle.So again, derivative of cosx is -sinx. SO multiply the two together and I get sinxsin(cosx)