Find all the local maxima, local minima, and saddle points of the function. f(x,y)=x2-6x+y2-16y-6 a)f(3, -8) = 177, saddle point b)f(3,8)=-79, local minimun     c)f(-3,-8)=213,local maximum     d)f(-3,8)=-43,saddle point

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
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Find all the local maxima, local minima, and saddle points of the function.
f(x,y)=x2-6x+y2-16y-6

a)f(3, -8) = 177, saddle point
b)f(3,8)=-79, local minimun    
c)f(-3,-8)=213,local maximum    
d)f(-3,8)=-43,saddle point    
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