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7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy — 2x² − 2y² +14x − 7y-5 Note D= fxx fyy- (fxy)² If D > 0: Then if fxx > 0: relative min If fx < 0: relative max If D< 0: saddlepoint

7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy — 2x² − 2y² +14x − 7y-5 Note D= fxx fyy- (fxy)² If D > 0: Then if fxx > 0: relative min If fx < 0: relative max If D< 0: saddlepoint

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 14BEXP
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7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy - 2x² −2y² +14x −7y-5 Note D= fxx fyy - (fxy)² If D > 0: Then if fxx > 0: relative min If fx < 0: relative max If D< 0: saddlepoint
Transcribed Image Text:7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy - 2x² −2y² +14x −7y-5 Note D= fxx fyy - (fxy)² If D > 0: Then if fxx > 0: relative min If fx < 0: relative max If D< 0: saddlepoint
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