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ht_Suppose f (x, y) = −2x² – 2xy — 1y², P = (2, 3), and u - i+ A. Compute the gradient of f. V f j - Note: Your answers should be expressions of x and y; e.g. "3x – 4y" B. Evaluate the gradient at the point P. (▼ ƒ) (2, 3) = i+ Note: Your answers should be numbers = = ( 18, f). C. Compute the directional derivative off at P in the direction u . (Duƒ) (P) = Note: Your answer should be a number j

ht_Suppose f (x, y) = −2x² – 2xy — 1y², P = (2, 3), and u - i+ A. Compute the gradient of f. V f j - Note: Your answers should be expressions of x and y; e.g. "3x – 4y" B. Evaluate the gradient at the point P. (▼ ƒ) (2, 3) = i+ Note: Your answers should be numbers = = ( 18, f). C. Compute the directional derivative off at P in the direction u . (Duƒ) (P) = Note: Your answer should be a number j

Algebra & Trigonometry with Analytic Geometry
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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ht Suppose ƒ (x, y) = −2x² – 2xy – 1y², P = (2, 3), and u = = ( 18, f). - A. Compute the gradient of f. V f - Note: Your answers should be expressions of x and y; e.g. "3x – 4y" B. Evaluate the gradient at the point P. (▼ ƒ) (2, 3) = i+ Note: Your answers should be numbers i+ C. Compute the directional derivative off at P in the direction u . (Duf) (P) = Note: Your answer should be a number j
Transcribed Image Text:ht Suppose ƒ (x, y) = −2x² – 2xy – 1y², P = (2, 3), and u = = ( 18, f). - A. Compute the gradient of f. V f - Note: Your answers should be expressions of x and y; e.g. "3x – 4y" B. Evaluate the gradient at the point P. (▼ ƒ) (2, 3) = i+ Note: Your answers should be numbers i+ C. Compute the directional derivative off at P in the direction u . (Duf) (P) = Note: Your answer should be a number j
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