What is the critical (x+3)e^{-2x} ?

The critical (x+3)e^{-2x} is x=-5/2

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critical (x+3)e^{-2x}

critical points

(x + 3) e^{- 2 x}

x = - \frac{5}{2}

Solution steps

(x + 3) e^{- 2 x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{5}{2}

Identify critical points not in

f (x)

domain

Domain of

(x + 3) e^{- 2 x} : - \infty < x < \infty

All critical points are in domain

x = - \frac{5}{2}

10000 - x^{3} + 33 x^{2} + 600 x

\frac{x ( x + 4 )}{( x - 1 ) 2}

y = - 2 x + 3

f (x) = \frac{6 x ^{2} + x - 9}{x ^{2} + 4}

\frac{x + 9}{x ^{2} - 81}