Direction of steepest ascent and descent a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a unit vector that points in a direction of no change. ƒ(x, y) = ln (1 + xy); P(2, 3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 51E
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Direction of steepest ascent and descent

a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P.

b. Find a unit vector that points in a direction of no change.

ƒ(x, y) = ln (1 + xy); P(2, 3)

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