What is the critical ln(x-y)+x^2+y ?

The critical ln(x-y)+x^2+y is (-1/2 ,-3/2)

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critical ln(x-y)+x^2+y

critical points

ln (x - y) + x^{2} + y

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

Solution steps

ln (x - y) + x^{2} + y

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = - 2 (x + 6 x)^{\frac{2}{3}} + 9

f (x) = x y

f (x, y) = 10 x^{2} y - 5 x^{2} - 4 y^{2} - x^{4} - 2 y^{4}

f (x) = 3 x^{2} + 5 x - 1

f (x) = \frac{2}{x ( x + 1 )}