What is the critical x^4e^{-x} ?

The critical x^4e^{-x} is x=0,x=4

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critical x^4e^{-x}

critical points

x^{4} e^{- x}

x = 0, x = 4

Solution steps

x^{4} e^{- x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = 4

Identify critical points not in

f (x)

domain

Domain of

x^{4} e^{- x} : - \infty < x < \infty

All critical points are in domain

x = 0, x = 4

ln (x + 3) - 1

y = - 2 x + 3

y = 5 x - 3

\frac{1}{4} (0 - 1)

- \frac{1}{2 1 - x}