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A. Compute the gradient of f. vf= i+ Note: Your answers should be expressions of x and y; e.g. "3x-4y" B. Evaluate the gradient at the point P. (Vƒ)(-2,2)= Note: Your answers should be numbers i+ C. Compute the directional derivative of f at P in the direction u. (Duf)(P) = Note: Your answer should be a number

A. Compute the gradient of f. vf= i+ Note: Your answers should be expressions of x and y; e.g. "3x-4y" B. Evaluate the gradient at the point P. (Vƒ)(-2,2)= Note: Your answers should be numbers i+ C. Compute the directional derivative of f at P in the direction u. (Duf)(P) = Note: Your answer should be a number

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assignment 9: Problem 10

 

A. Compute the gradient of f. vf = i+ Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Evaluate the gradient at the point P. (Vƒ) (-2,2) = Note: Your answers should be numbers i+ C. Compute the directional derivative of f at P in the direction u. (Duf)(P) = Note: Your answer should be a number j
Transcribed Image Text:A. Compute the gradient of f. vf = i+ Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Evaluate the gradient at the point P. (Vƒ) (-2,2) = Note: Your answers should be numbers i+ C. Compute the directional derivative of f at P in the direction u. (Duf)(P) = Note: Your answer should be a number j
Suppose f(x, y) = 1x² + 3xy + 1y², P = (-2, 2), and u = =(음, 믐).
Transcribed Image Text:Suppose f(x, y) = 1x² + 3xy + 1y², P = (-2, 2), and u = =(음, 믐).
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