What is the critical f(x,y)=4x^2+1/4 y^3-2xy ?

The critical f(x,y)=4x^2+1/4 y^3-2xy is (1/6 , 2/3),(0,0)

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critical f(x,y)=4x^2+1/4 y^3-2xy

critical points

f (x, y) = 4 x^{2} + \frac{1}{4} y^{3} - 2 x y

(\frac{1}{6}, \frac{2}{3}), (0, 0)

Solution steps

4 x^{2} + \frac{1}{4} y^{3} - 2 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1}{6}, \frac{2}{3}), (0, 0)

x^{3} - 3 x^{2} - 24 x - 10

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

f (x, y) = e^{x^{2} + 0.5 y^{2} - 4 x y - 3 x}

f (x) = 15 + 30 x - 25 x^{2}

\frac{x - 1}{x + 1}

What is the critical f(x,y)=4x^2+1/4 y^3-2xy ?
The critical f(x,y)=4x^2+1/4 y^3-2xy is (1/6 , 2/3),(0,0)