||| 22 50 te Homework: Section 15.5 Assignment Consider the function f(x,y,z)= e xyz-3, the point P(0,1,4), and the unit

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22 50 Te Homework Section 15 5 Assignment Consider The Function F X Y Z E Xyz 3 The Point P 0 1 4 And The Unit 1 (31.97 KiB) Viewed 31 times

||| 22 50 te Homework: Section 15.5 Assignment Consider the function f(x,y,z)= e xyz-3, the point P(0,1,4), 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 off at P. 22 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. Question 7, 15.5.64 Part 1 of 4 a. What is the gradient at the point P(0,1,4)? nd (Type exact answers in terms of e.) *** 21 2 3'3'3/