What is the critical f(x,y)=2x^3-15x^2+y^3+6y^2 ?

The critical f(x,y)=2x^3-15x^2+y^3+6y^2 is (0,0),(0,-4),(5,0),(5,-4)

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critical f(x,y)=2x^3-15x^2+y^3+6y^2

critical points

f (x, y) = 2 x^{3} - 15 x^{2} + y^{3} + 6 y^{2}

(0, 0), (0, - 4), (5, 0), (5, - 4)

Solution steps

2 x^{3} - 15 x^{2} + y^{3} + 6 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, - 4), (5, 0), (5, - 4)

What is the critical f(x,y)=2x^3-15x^2+y^3+6y^2 ?
The critical f(x,y)=2x^3-15x^2+y^3+6y^2 is (0,0),(0,-4),(5,0),(5,-4)