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Popular Functions >

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

Solution

critical points

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

Graph

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Frequently Asked Questions (FAQ)

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