Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point. f(x,y) = x2 - 14x + y2 – 16y – 5 O A. f(7,8) = - 118, local minimum O B. f(7, - 8) = 138, saddle point O C. f(- 7,8) = 78, saddle point O D. f(- 7, - 8) = 334, local maximum

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 15BEXP
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
f(x,y) = x2 - 14x+ y2 – 16y – 5
O A. f(7,8) = - 118, local minimum
B. f(7, - 8) = 138, saddle point
OC. f(- 7,8) = 78, saddle point
O D. f(- 7,- 8) = 334, local maximum
Transcribed Image Text:Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point. f(x,y) = x2 - 14x+ y2 – 16y – 5 O A. f(7,8) = - 118, local minimum B. f(7, - 8) = 138, saddle point OC. f(- 7,8) = 78, saddle point O D. f(- 7,- 8) = 334, local maximum
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