6.(a) Find the directional derivative of w = x²y² at the point (1, -3) in the direc-5T5Ttion of the unit vector u = cosi+sinj.(b) What is the maximum value of the directional derivative of w = ²y at(1,-3) and it what direction is it attained?Q SearchA

Answered: Image /qna-images/answer/28d79619-728f-45ed-b0f7-7392cabb1c2a.jpg

Answered: 6. (a) Find the directional derivative…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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6. (a) Find the directional derivative of w = x²y² at the point (1, -3) in the direc- 5T 5T tion of the unit vector u = cos i+sinj. (b) What is the maximum value of the directional derivative of w = ²y at (1,-3) and it what direction is it attained? Q Search A