What is the critical xe^{-3x} ?

The critical xe^{-3x} is x= 1/3

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critical xe^{-3x}

critical points

x e^{- 3 x}

x = \frac{1}{3}

Solution steps

x e^{- 3 x}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{3}

Identify critical points not in

f (x)

domain

Domain of

x e^{- 3 x} : - \infty < x < \infty

All critical points are in domain

x = \frac{1}{3}

f (x) = \frac{1}{4} x^{3} + 8

(x - 2) e^{x}

f (x) = \frac{7}{5 x + 7}

\frac{2 x ^{2} - x - 7}{x ^{2} + 9}

lo g_{\frac{1}{2}} (- x + 2) + 5