What is the critical f(x)=2x^3+9xy^2+15x^2+27y^2 ?

The critical f(x)=2x^3+9xy^2+15x^2+27y^2 is (0,0),(-5,0),(-3,2),(-3,-2)

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critical f(x)=2x^3+9xy^2+15x^2+27y^2

critical points

f (x) = 2 x^{3} + 9 x y^{2} + 15 x^{2} + 27 y^{2}

(0, 0), (- 5, 0), (- 3, 2), (- 3, - 2)

Solution steps

2 x^{3} + 9 x y^{2} + 15 x^{2} + 27 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 5, 0), (- 3, 2), (- 3, - 2)

What is the critical f(x)=2x^3+9xy^2+15x^2+27y^2 ?
The critical f(x)=2x^3+9xy^2+15x^2+27y^2 is (0,0),(-5,0),(-3,2),(-3,-2)