What is the critical f(x)=xe^{-x} ?

The critical f(x)=xe^{-x} is x=1

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critical f(x)=xe^{-x}

critical points

f (x) = x e^{- x}

x = 1

Solution steps

x e^{- x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = 1

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

f (x) = tan (2 x)

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

f (x) = 3 x^{4} + 5 x^{2} + 1

f (x) = \frac{x + 1}{x - 7}