Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point. f(x.y)=x? +5xy+y? O A. f(5,0)= 25, local minimum; f(0,5)= 25, local minimum B. f(0,0) = 0, saddle point C. f(0,0)=0, saddle point; f(5,5) = 175, local maximim D. f(5,5)= 175, local maximim

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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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6. Please help me answer all parts to this calculus problem.
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
f(x.y) =x? +5xy +y?
O A. f(5,0)= 25, local minimum; f(0,5)= 25, local minimum
B. f(0,0) = 0, saddle point
C. f(0,0)=0, saddle point; f(5,5) = 175, local maximim
D. f(5,5)= 175, local maximim
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) =x? +5xy +y? O A. f(5,0)= 25, local minimum; f(0,5)= 25, local minimum B. f(0,0) = 0, saddle point C. f(0,0)=0, saddle point; f(5,5) = 175, local maximim D. f(5,5)= 175, local maximim
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