What is the critical xe^{-2x} ?

The critical xe^{-2x} is x= 1/2

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critical xe^{-2x}

critical points

x e^{- 2 x}

x = \frac{1}{2}

Solution steps

x e^{- 2 x}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{2}

Identify critical points not in

f (x)

domain

Domain of

x e^{- 2 x} : - \infty < x < \infty

All critical points are in domain

x = \frac{1}{2}

f (x) = - x^{2} - 8 x + 2

f (x) = \frac{sin ( x )}{x}

x^{2} - 13 x + 40

f (x) = - 6 x + 6

\frac{x}{e ^{x}}