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8. Here's a whole new example function: f(x, y) = x² + 2xy + y°. fe (a) Calculate fe (b) Calculate dy (c) Solve the system of equations fe = 0 and fe = 0. (Points where all partial derivatives of a function are zero are again called critical points of the function.) (Did you find two critical points, (x, y) = (0,0) and (x, y) = (-,)?) 3/3

8. Here's a whole new example function: f(x, y) = x² + 2xy + y°. fe (a) Calculate fe (b) Calculate dy (c) Solve the system of equations fe = 0 and fe = 0. (Points where all partial derivatives of a function are zero are again called critical points of the function.) (Did you find two critical points, (x, y) = (0,0) and (x, y) = (-,)?) 3/3

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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8. Here's a whole new example function: f(x, y) = x? + 2xy + y³. fe (a) Calculate af (b) Calculate dy fe = 0 and af = 0. (Points where all partial derivatives dy (c) Solve the system of equations of a function are zero are again called critical points of the function.) (Did you find two critical points, (x, y) = (0, 0) and (x, y) = (-3, )?) 3/3
Transcribed Image Text:8. Here's a whole new example function: f(x, y) = x? + 2xy + y³. fe (a) Calculate af (b) Calculate dy fe = 0 and af = 0. (Points where all partial derivatives dy (c) Solve the system of equations of a function are zero are again called critical points of the function.) (Did you find two critical points, (x, y) = (0, 0) and (x, y) = (-3, )?) 3/3
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