Question: 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)=11-3x2-4y2,P(-4,3)a. Find the
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)=11-3x2-4y2,P(-4,3)a. Find the gradient and evaluate it at P.The gradient at P is (:24,-24:).b. Find the angles (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 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.)
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