18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² + 5x² is a maximum at P = (-1,2). (Use symbolic notation and fractions where needed. Give your answer in vector form.) direction: (b) Find the maximum value of the directional derivative. (Use symbolic notation and fractions where needed.) ||Vf (-1,2) || =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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18
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(a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² + 5x² is a maximum at P = (-1,2).
(Use symbolic notation and fractions where needed. Give your answer in vector form.)
direction:
(b) Find the maximum value of the directional derivative.
(Use symbolic notation and fractions where needed.)
||Vf(-1,2) || =
Transcribed Image Text:18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² + 5x² is a maximum at P = (-1,2). (Use symbolic notation and fractions where needed. Give your answer in vector form.) direction: (b) Find the maximum value of the directional derivative. (Use symbolic notation and fractions where needed.) ||Vf(-1,2) || =
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