4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = 2² – 4y; U = cos r î + sin r î; P(-2,2) osm î + sin }a î; P(-2,2) %3D = COS (b) f(r, y) = e2rv; U = i-; P(2,1)

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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4.Find (a) the gradient of ƒ at P and (b) the rate of change of
the function value in the direction of U at P.
(a) f(x, y) = x² – 4y; U
= cos r î + sin 4a ĵ; P(-2,2)
%3D
(b) f(r, y) = e²=v; Ū = { i - ; P(2,1)
%3D
Transcribed Image Text:4.Find (a) the gradient of ƒ at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = x² – 4y; U = cos r î + sin 4a ĵ; P(-2,2) %3D (b) f(r, y) = e²=v; Ū = { i - ; P(2,1) %3D
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