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

The critical f(x,y)=-3x^3+4x^2y+15y^2+6 is (0,0),(-135/16 ,-1215/128)

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

critical points

f (x, y) = - 3 x^{3} + 4 x^{2} y + 15 y^{2} + 6

(0, 0), (- \frac{135}{16}, - \frac{1215}{128})

Solution steps

- 3 x^{3} + 4 x^{2} y + 15 y^{2} + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{135}{16}, - \frac{1215}{128})

\frac{2 x}{x ^{2} - 4}

f (x) = 30 x^{2} y - 45 x^{2} + 4 y^{3} - 30 y^{2} + 7

f (x) = e^{x} (2 x^{3} + 3 x^{2})

y = \frac{x ^{2}}{x + 1}

f (x) = x^{3} - 9 x^{2} + 24 x + 5

What is the critical f(x,y)=-3x^3+4x^2y+15y^2+6 ?
The critical f(x,y)=-3x^3+4x^2y+15y^2+6 is (0,0),(-135/16 ,-1215/128)