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

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

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

critical points

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

(0, 0), (- \frac{1}{2}, - \frac{1}{4})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{1}{2}, - \frac{1}{4})

f (x) = 2 x^{4} (5 - x)^{7}

f (x) = 120 x^{2} - 15 x^{4}

f (x) = \frac{x}{x ^{2} + 13 x + 42}

\frac{2 x ^{2} - 2}{x ^{2} - 4}

a x^{2} + 2 x y + 3 y^{2} + 4 x - 1

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