What is the critical f(x,y)=8+76xy+38x^2+240y+(y^4)/4 ?

The critical f(x,y)=8+76xy+38x^2+240y+(y^4)/4 is (-4,4),(-6,6),(10,-10)

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critical f(x,y)=8+76xy+38x^2+240y+(y^4)/4

critical points

f (x, y) = 8 + 76 x y + 38 x^{2} + 240 y + \frac{y ^{4}}{4}

(- 4, 4), (- 6, 6), (10, - 10)

Solution steps

8 + 76 x y + 38 x^{2} + 240 y + \frac{y ^{4}}{4}

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 4, 4), (- 6, 6), (10, - 10)

f (x, y) = x^{2} + y^{2} - 1 + 4 - x^{2} - y^{2}

f (x) = ln (4 - x^{2})

f (x, y) = y x - y^{2} - 3 x + 11 y

y = 3 x^{2} - 4 x + 7

f (x, y) = x^{2} y - x^{2} - \frac{1}{3} y^{3}

What is the critical f(x,y)=8+76xy+38x^2+240y+(y^4)/4 ?
The critical f(x,y)=8+76xy+38x^2+240y+(y^4)/4 is (-4,4),(-6,6),(10,-10)