What is the critical f(x,y)=x^2-(y^3)/3-(x^2y)/2+6y ?

The critical f(x,y)=x^2-(y^3)/3-(x^2y)/2+6y is (0,sqrt(6)),(0,-sqrt(6)),(2,2),(-2,2)

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critical f(x,y)=x^2-(y^3)/3-(x^2y)/2+6y

critical points

f (x, y) = x^{2} - \frac{y ^{3}}{3} - \frac{x ^{2} y}{2} + 6 y

(0, 6), (0, - 6), (2, 2), (- 2, 2)

Solution steps

x^{2} - \frac{y ^{3}}{3} - \frac{x ^{2} y}{2} + 6 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 6), (0, - 6), (2, 2), (- 2, 2)

What is the critical f(x,y)=x^2-(y^3)/3-(x^2y)/2+6y ?
The critical f(x,y)=x^2-(y^3)/3-(x^2y)/2+6y is (0,sqrt(6)),(0,-sqrt(6)),(2,2),(-2,2)