33. f(x, у) %3D хе", Р%3 (2,0)

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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In Exercises 33–36, determine the direction in which f has maximum rate
of increase from P, and give the rate of change in that direction.
33. f(x, у) — хе У, Р— (2,0)
34. F(x, у) 3 х2 — ху+ у?, Р%D (-1,4)
ху
35. ƒ(x, y,z) =
, P= (1,–1,3)
36. F(x, у, 2) %3D х?у/i, Р%3D (1,5, 9)
Transcribed Image Text:In Exercises 33–36, determine the direction in which f has maximum rate of increase from P, and give the rate of change in that direction. 33. f(x, у) — хе У, Р— (2,0) 34. F(x, у) 3 х2 — ху+ у?, Р%D (-1,4) ху 35. ƒ(x, y,z) = , P= (1,–1,3) 36. F(x, у, 2) %3D х?у/i, Р%3D (1,5, 9)
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