Answered: 4. Find the critical points of each…

4. Find the critical points of each function and use the Second Derivative Test to classify the critical points. (a) f(x, y) 4-2-y² (b) f(x, y) = x² - y² (c) f(x, y) = 3x³ + y² - 9x+4y

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 25E: Explain the relationship between the slope and the derivative of fx at x=a.

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4. Find the critical points of each function and use the Second Derivative Test to classify the critical points.
(a) f(x, y) 4-2-y²
(b) f(x, y) = x² - y²
(c) f(x, y) = 3x³ + y² - 9x+4y

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