(a) Find the directional derivative of z = x²y at (5,5) in the direction of π/2 with the positive x-axis. (b) In which direction is the directional derivative the largest at the point (5, 5)? Enter your answer as a vector whose length is the largest value of the directional derivative.
(a) Find the directional derivative of z = x²y at (5,5) in the direction of π/2 with the positive x-axis. (b) In which direction is the directional derivative the largest at the point (5, 5)? Enter your answer as a vector whose length is the largest value of the directional derivative.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
Related questions
Question
![(a) Find the directional derivative of z = x²y at (5,5) in
the direction of π/2 with the positive x-axis.
(b) In which direction is the directional derivative the
largest at the point (5, 5)? Enter your answer as a vector
whose length is the largest value of the directional
derivative.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa64798-ff50-47d6-b342-20b56281101d%2F6f1087a1-1e82-4667-bbe9-8aa927d262b0%2Fath3m1b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Find the directional derivative of z = x²y at (5,5) in
the direction of π/2 with the positive x-axis.
(b) In which direction is the directional derivative the
largest at the point (5, 5)? Enter your answer as a vector
whose length is the largest value of the directional
derivative.
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