Let f(x, y) = 3y²– 2y³ 3x2+6ry. Find all critical points of f and use the Second Derivatives Test to determine whether f has a saddle point or a relative maximum or minimum at each of those points.

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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1. Let f(x, y) = 3y² - 2y³ - 3x² + 6xy. Find all critical points of f and use the Second Derivatives Test to
determine whether f has a saddle point or relative maximum or minimum at each of those points.
Transcribed Image Text:1. Let f(x, y) = 3y² - 2y³ - 3x² + 6xy. Find all critical points of f and use the Second Derivatives Test to determine whether f has a saddle point or relative maximum or minimum at each of those points.
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