(Steps Shown) Find any critical points for the function: z=f(x, y)=8 x^3-36 x y-9 y^2+36 Classify each critical point as a local maximum, local minimum,
Question: Find any critical points for the function:
\[z=f(x, y)=8 x^{3}-36 x y-9 y^{2}+36\]Classify each critical point as a local maximum, local minimum, or saddle point. Show exactly how you are using the second derivative test for a function of two variables.
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