What is the critical f(x)=xe^{-2x} ?

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

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critical f(x)=xe^{-2x}

critical points

f (x) = 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}

\frac{1 + x}{1 + x ^{2}}

f (x) = - x - 7

f (x) = (x - 2)^{2} + 1

3 sec (8 x - 32)

4 y = - 3 x + 7