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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Question

Transcribed Image Text:1. Find the directional derivative of f(x, y)
pointing to the origin.
2. Consider the function
x³ - 2xy at the point P(1,2) in the direction
ƒ(x, y) = e−²x²-(y−3)²
Find all critical points of the following function and use the second-derivative criterion to
classify them (maximum, minimum, saddle, or inconclusive).
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