Problem 1

A) Compute fx, fy, for f(x, y) = x(xy^3)^1/2.

B) Compute fx, fy, for f(x, y) = ((x^2 + 1)^3)e^xy^5

C) Compute fx, fy, for f(x, y) = (xy^2)/(3x+y^3).

D) Compute fx, fy, for f(x, y) = tan^3(sin(x^2+y+3)).

E) Compute fx, fy, for f(x, y) = ln(x^2 * y^3+ 1).