What is the critical f(x,y)=x^3+y^2-y-xy+5 ?

The critical f(x,y)=x^3+y^2-y-xy+5 is (1/2 , 3/4),(-1/3 , 1/3)

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critical f(x,y)=x^3+y^2-y-xy+5

critical points

f (x, y) = x^{3} + y^{2} - y - x y + 5

(\frac{1}{2}, \frac{3}{4}), (- \frac{1}{3}, \frac{1}{3})

Solution steps

x^{3} + y^{2} - y - x y + 5

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1}{2}, \frac{3}{4}), (- \frac{1}{3}, \frac{1}{3})

g (y) = \frac{y - 1}{y ^{2} - 3 y + 3}

f (x) = \frac{- cos ( 2 x )}{2} - 2 sin (x)

2 x^{3} - 3 x^{2} - 36 x + 5

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

f (x) = x^{\frac{1}{7}} - x^{- \frac{6}{7}}

What is the critical f(x,y)=x^3+y^2-y-xy+5 ?
The critical f(x,y)=x^3+y^2-y-xy+5 is (1/2 , 3/4),(-1/3 , 1/3)