Homework: Section 15.5 Assignment Question 6, 15.5.61 Part 1 of 4 Consider the function f(x,y,z) = 4 + 3xyz, the point P

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Homework Section 15 5 Assignment Question 6 15 5 61 Part 1 Of 4 Consider The Function F X Y Z 4 3xyz The Point P 1 (32.27 KiB) Viewed 36 times

Homework: Section 15.5 Assignment Question 6, 15.5.61 Part 1 of 4 Consider the function f(x,y,z) = 4 + 3xyz, the point P(1,1,-1), 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 fat 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 (1,1,-1)? *** (√3+√3-√3)