Question

Suppose f(x,y) =-3x^2-3xy-2y^2 P=(-3,1)and u=(3/5, 4/5).

A. Compute the gradient of f.

f=_______i+_____ j

Note: Your answers should be expressions of x and y; e.g. "3x -4y"

B. Evaluate the gradient at the point P.(f)(-3,1) =_______i+_____ j

Note: Your answers should be numbers

C. Compute the directional derivative of f at P in the directionu .

Duf(p)=