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

The critical f(x,y)=x^2+4y^2+y^3+4x is (-2,0),(-2,-8/3)

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

critical points

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

(- 2, 0), (- 2, - \frac{8}{3})

Solution steps

x^{2} + 4 y^{2} + y^{3} + 4 x

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 2, 0), (- 2, - \frac{8}{3})

x^{3} + 6 x^{2} + 9 x

x + \frac{64}{x}

f (x) = 5 sin (x) cos (x), (0, 2 π)

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

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

What is the critical f(x,y)=x^2+4y^2+y^3+4x ?
The critical f(x,y)=x^2+4y^2+y^3+4x is (-2,0),(-2,-8/3)