Question

a. Compute the gradient of ƒ and evaluate it at P. b. Find the unit vector in the direction of maximum increase of ƒ at P. c. Find the rate of change of the function in the direction of maximum increase at P. d. Find the directional derivative at P in the direction of the given vector.

Answer 1

Answer:

The question has some details missing. Here is the given function ; f(x,y,z) = 1 + 4xyz at point P = (1,-1,-1)

Step-by-step explanation:

The detailed steps and appropriate calculation is as shown in the attached file.