Consider f(x, y) =(ax² + by²). Based on the second derivative test, what are the conditions necessary on D, a and b in order to have a local maximum at (0,0)?

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
Section4.4: Derivatives Of Exponential Functions
Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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Consider f(x, y) =(ax? + by?). Based on the second derivative test, what are the conditions
necessary on D, a and b in order to have a local maximum at (0,0)?
Transcribed Image Text:Consider f(x, y) =(ax? + by?). Based on the second derivative test, what are the conditions necessary on D, a and b in order to have a local maximum at (0,0)?
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