Text: Complete parts (a) and (b) on partial derivatives.
(a) Find the partial derivatives fx(x,y,z), fy(x,y,z), and fz(x,y,z) for the function below.
f(x,y,z) = cos(x^2+2y)-e^(4x-z^4y)+y^3
(b) Find the mixed partial derivatives fyyx(x,y,z) and fyyy(x,y,z) for the function below.
f(x,z,y) = x^2e^(2y)