What is the critical f(x,y)=2x^3+2y^3-9x^2+3y^2-12y ?

The critical f(x,y)=2x^3+2y^3-9x^2+3y^2-12y is (0,1),(0,-2),(3,1),(3,-2)

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critical f(x,y)=2x^3+2y^3-9x^2+3y^2-12y

critical points

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

(0, 1), (0, - 2), (3, 1), (3, - 2)

Solution steps

2 x^{3} + 2 y^{3} - 9 x^{2} + 3 y^{2} - 12 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 1), (0, - 2), (3, 1), (3, - 2)

f (x) = x^{\frac{2}{5}} (x - 8)

\frac{y - 5}{y ^{2} - 3 y + 15}

f (x) = x^{- \frac{1}{3}} (x - 12)

x^{3} + 6 x^{2} - 13 x + 42

5 x^{2} ln (x)

What is the critical f(x,y)=2x^3+2y^3-9x^2+3y^2-12y ?
The critical f(x,y)=2x^3+2y^3-9x^2+3y^2-12y is (0,1),(0,-2),(3,1),(3,-2)