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2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D ху — 2х — 2у — х2 — у2

2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D ху — 2х — 2у — х2 — у2

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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u+2t 3. Find the first partial derivatives for s(u, t) evaluated at s(2, 1). %3D u²+t?
Transcribed Image Text:u+2t 3. Find the first partial derivatives for s(u, t) evaluated at s(2, 1). %3D u²+t?
1. State the Chain Rule: a. z=f (x, y) is a differentiable function and x = s(t), y = p(t) - are functions of one variable, then: dz dt b. z=f (X.x) is a differentiable function, where x = q(s, t), y = p(s, t) - are functions of two variables, then: az as az at 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D ху — 2х — 2у — х? — у?
Transcribed Image Text:1. State the Chain Rule: a. z=f (x, y) is a differentiable function and x = s(t), y = p(t) - are functions of one variable, then: dz dt b. z=f (X.x) is a differentiable function, where x = q(s, t), y = p(s, t) - are functions of two variables, then: az as az at 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D ху — 2х — 2у — х? — у?
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