What is the critical x^3+y^3+3x^2-18y+5 ?

The critical x^3+y^3+3x^2-18y+5 is (0,sqrt(6)),(0,-sqrt(6)),(-2,sqrt(6)),(-2,-sqrt(6))

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critical x^3+y^3+3x^2-18y+5

critical points

x^{3} + y^{3} + 3 x^{2} - 18 y + 5

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

Solution steps

x^{3} + y^{3} + 3 x^{2} - 18 y + 5

Find where

\nabla f (x, y)

is equal to zero or undefined

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

1 - sin (x)

f (x) = - 5 x - 8

f (x) = x^{3} ln (x), (0, \infty)

x^{2} y + y^{3} - 27 y

\frac{1}{3} y^{3} + 4 x y - 9 y - x^{2}

What is the critical x^3+y^3+3x^2-18y+5 ?
The critical x^3+y^3+3x^2-18y+5 is (0,sqrt(6)),(0,-sqrt(6)),(-2,sqrt(6)),(-2,-sqrt(6))