Consider the function f x y z exyz 1 the point P 0 3 3 and

Last updated: 3/23/2023

Consider the function f x y z exyz 1 the point P 0 3 3 and the unit vector u a Compute the gradient of f and evaluate it at P b Find the unit vector in the direction of maximum increase of f 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 a What is the gradient at the point P 0 3 3 Type exact answers in terms of e 9 11 11