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

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

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

critical points

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

(0, 1), (- 1, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 1), (- 1, 0)

- \frac{2 x ( - x ^{2} + 27 )}{( x ^{2} + 9 ) ^{3}}

f (x) = x^{\frac{3}{2}} (3 x + 10)

\frac{2 ( x ^{2} - 9 )}{x ^{2} - 4}

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

f (x) = (x - 9) e^{x}

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