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Popular >

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

Solution

critical points

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

Solution

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

Popular Examples

critical f(x)=-4x^3+3x^2+18x critical points

f (x) = - 4 x^{3} + 3 x^{2} + 18 x

critical 3x^4+4x^3-12x^2+7 critical points

3 x^{4} + 4 x^{3} - 12 x^{2} + 7

critical f(x)=x^{1/5}-x^{-4/5}critical points

f (x) = x^{\frac{1}{5}} - x^{- \frac{4}{5}}

critical f(x)=x^{4/5}(x-5)^2 critical points

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

critical f(x)=-1/(x^2)critical points

f (x) = - \frac{1}{x ^{2}}

Frequently Asked Questions (FAQ)

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