Answer: A function has continuous second partial derivatives on an open region
Chapter 13, Problem 35(choose chapter or problem)
A function f has continuous second partial derivatives on an open region containing the critical point (3, 7). The function has a minimum at (3, 7), and d > 0 for the Second Partials Test. Determine the interval for \(f_{x y}(3,7)\) if \(f_{x x}(3,7)=2\) and \(f_{y y}(3,7)=8\).
Text Transcription:
f_xy(3,7)
f_xx(3,7)=2
f_yy(3,7)=8
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