Find a unit vector in the direction in which ƒ(x,y) = √x² + y² increases most rapidly at P(π/6,π/4); and find the rate of change of ƒ at P in that direction.

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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Find a unit vector in the direction in which ƒ(x, y) = √x² + y² increases most
rapidly at P(π/6,7/4); and find the rate of change of f at P in that direction.
Transcribed Image Text:Find a unit vector in the direction in which ƒ(x, y) = √x² + y² increases most rapidly at P(π/6,7/4); and find the rate of change of f at P in that direction.
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