What is the critical f(x)=(x+4)e^{-x} ?

The critical f(x)=(x+4)e^{-x} is x=-3

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critical f(x)=(x+4)e^{-x}

critical points

f (x) = (x + 4) e^{- x}

x = - 3

Solution steps

(x + 4) e^{- x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 3

Identify critical points not in

f (x)

domain

Domain of

(x + 4) e^{- x} : - \infty < x < \infty

All critical points are in domain

x = - 3

- 4 x^{4} + 5 x^{3} - x^{2}

- lo g_{3} (x) + 4

f (x) = 2 x - 15

3 x + y = - 7

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