Solved: In Exercises 37 42, (a) find the critical points, (b) test for relative extrema

Chapter 13, Problem 38

(choose chapter or problem)

In Exercises 37– 42, (a) find the critical points, (b) test for relative extrema, (c) list the critical points for which the Second Partials Test fails, and (d) use a computer algebra system to graph the function, labeling any extrema and saddle points.

\(f(x, y)=x^{3}+y^{3}-6 x^{2}+9 y^{2}+12 x+27 y+19\)

Text Transcription:

f(x,y)=x^3+y^3-6 x^2+9 y^2+12x+27y+19

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