What is the critical f(x,y)=xye^{-x^2-y^2} ?

The critical f(x,y)=xye^{-x^2-y^2} is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

critical points

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

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

Solution steps

x y e^{- x^{2} - y^{2}}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

What is the critical f(x,y)=xye^{-x^2-y^2} ?
The critical f(x,y)=xye^{-x^2-y^2} is