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Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2) is a critical point of f(x, y) such that fax (-1,2) fyy (-1,2) > (fay(-1,2))² and fx = 9x² - 9. Classify (-1,2) using the Second Derivative Test. There is a saddle point at (-1,2). O There is a local maximum at (-1,2). O There is a local minimum at (-1,2). O The Second Derivative Test is inconclusive at (-1,2).

Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2) is a critical point of f(x, y) such that fax (-1,2) fyy (-1,2) > (fay(-1,2))² and fx = 9x² - 9. Classify (-1,2) using the Second Derivative Test. There is a saddle point at (-1,2). O There is a local maximum at (-1,2). O There is a local minimum at (-1,2). O The Second Derivative Test is inconclusive at (-1,2).

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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Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1,2) is a critical point of f(x, y) such that fxx (-1,2) fyy (-1, 2) > (ƒzy (−1, 2))² and f = 9x² - 9. 2 Classify (-1,2) using the Second Derivative Test. There is a saddle point at (-1, 2). O There is a local maximum at (-1,2). O There is a local minimum at (−1, 2). O The Second Derivative Test is inconclusive at (-1,2).
Transcribed Image Text:Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1,2) is a critical point of f(x, y) such that fxx (-1,2) fyy (-1, 2) > (ƒzy (−1, 2))² and f = 9x² - 9. 2 Classify (-1,2) using the Second Derivative Test. There is a saddle point at (-1, 2). O There is a local maximum at (-1,2). O There is a local minimum at (−1, 2). O The Second Derivative Test is inconclusive at (-1,2).
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