What is the critical (x^3)/3+3/2 y^2+3xy+2x+6 ?

The critical (x^3)/3+3/2 y^2+3xy+2x+6 is (2,-2),(1,-1)

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critical (x^3)/3+3/2 y^2+3xy+2x+6

critical points

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

(2, - 2), (1, - 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, - 2), (1, - 1)

f (x) = 3 x^{3} - 3 x^{2} - 3 x - 1

f (x) = 2 x^{3} + 3 x^{2} - 36 x + 5

f (x) = 2 x^{3} + 3 x^{2} - 36 x + 4

3 x^{4} - 4 x^{3} - 12 x + 1

What is the critical (x^3)/3+3/2 y^2+3xy+2x+6 ?
The critical (x^3)/3+3/2 y^2+3xy+2x+6 is (2,-2),(1,-1)