Question: For each problem, locate the critical points and classify each one using the second derivative test. a. (f(x, y)=(x+y)^{2}). b. (f(x, y)=x^{2} y+x y^{2}). c.
For each problem, locate the critical points and classify each one using the second derivative test.
a. \(f(x, y)=(x+y)^{2}\).
b. \(f(x, y)=x^{2} y+x y^{2}\).
c. \(f(x, y)=x^{4} y+x y^{4}-x y\).
d. \(f(x, y)=x^{2}-3 x y+2 x+10 y+6 y^{2}+12\).
e. \(f(x, y)=\left(x^{2}-y^{2}\right) e^{-y}\).
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