What is the critical f(x,y)=10x^2y-5x^2-4y^2-x^4-2y^4 ?

The critical f(x,y)=10x^2y-5x^2-4y^2-x^4-2y^4 is

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critical f(x,y)=10x^2y-5x^2-4y^2-x^4-2y^4

critical points

f (x, y) = 10 x^{2} y - 5 x^{2} - 4 y^{2} - x^{4} - 2 y^{4}

(\frac{7.33861 E 15}{1.0 E 16}, \frac{8.08465 E 15}{1.25 E 16}), (- \frac{7.33861 E 15}{1.0 E 16}, \frac{8.08465 E 15}{1.25 E 16}), (\frac{6.99192 E 15}{1.0 E 15}, \frac{1.18649 E 15}{6.25 E 14}), (- \frac{6.99192 E 15}{1.0 E 15}, \frac{1.18649 E 15}{6.25 E 14})

Solution steps

10 x^{2} y - 5 x^{2} - 4 y^{2} - x^{4} - 2 y^{4}

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{7.33861 E 15}{1.0 E 16}, \frac{8.08465 E 15}{1.25 E 16}), (- \frac{7.33861 E 15}{1.0 E 16}, \frac{8.08465 E 15}{1.25 E 16}), (\frac{6.99192 E 15}{1.0 E 15}, \frac{1.18649 E 15}{6.25 E 14}), (- \frac{6.99192 E 15}{1.0 E 15}, \frac{1.18649 E 15}{6.25 E 14})

f (x) = 3 x^{2} + 5 x - 1

f (x) = \frac{2}{x ( x + 1 )}

3 x^{3} + x y^{2} - 2 x y + 1

f (x) = 4 x^{3} - 9 x^{2} + 3 x + 1

3 x^{2} - 12 x

What is the critical f(x,y)=10x^2y-5x^2-4y^2-x^4-2y^4 ?
The critical f(x,y)=10x^2y-5x^2-4y^2-x^4-2y^4 is