A function f and a point P are given. Let correspond to the direction of the directional derivative. Complete parts (a) through (e). f(x,y) = 16-2x²-3y², P(-3,2) a. Find the gradient and evaluate it at P. The gradient at P is (12-12) b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum increase, maximum decrease, and zero change. What angle(s) is/are associated with the direction of maximum increase? (Type any angles in radians between 0 and 21. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of maximum decrease? (Type any angles in radians between 0 and 2л. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of zero change? The angle(s) associated with the directions of zero change is/are (Type any angles in radians between 0 and 21. Type an exact answer, using as needed. Use a comma to separate answers as needed.) c. Write the directional derivative at P as a function of 0; call this function g(0). g(0) =