What is the critical f(x,y)=x^2+y^4+2xy ?

The critical f(x,y)=x^2+y^4+2xy is (0,0),(1/(sqrt(2)),-1/(sqrt(2))),(-1/(sqrt(2)), 1/(sqrt(2)))

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critical f(x,y)=x^2+y^4+2xy

critical points

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

(0, 0), (\frac{1}{2}, - \frac{1}{2}), (- \frac{1}{2}, \frac{1}{2})

Solution steps

x^{2} + y^{4} + 2 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (\frac{1}{2}, - \frac{1}{2}), (- \frac{1}{2}, \frac{1}{2})

x^{2} - 2 ln (x)

ln (4 - x^{2})

x x + 1

f (x) = x^{3} - 6 x^{2} + 9 x - 8

f (x) = x^{2} + x^{\frac{1}{3}}

What is the critical f(x,y)=x^2+y^4+2xy ?
The critical f(x,y)=x^2+y^4+2xy is (0,0),(1/(sqrt(2)),-1/(sqrt(2))),(-1/(sqrt(2)), 1/(sqrt(2)))