7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2) b. Find the unit vector such that the directional derivative of f at the point (1,2) in the direction of this unit vector is maximum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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7. Let f(x,y) =9-x² – y²
a. Find the maximum value of the directional derivative at the point (1,2)
b. Find the unit vector such that the directional derivative of f at the point (1,2) in
the direction of this unit vector is maximum
Transcribed Image Text:7. Let f(x,y) =9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2) b. Find the unit vector such that the directional derivative of f at the point (1,2) in the direction of this unit vector is maximum
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