Solve the below:
Q: Let f(x,y) = x^2 - y^3
a) Find the gradient of f(x,y) at (3,2).
b) Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v = <4,3>
c) Find the maximum value of the directional derivative of f(x,y) at (3,2) and the direction in which it occurs.