What is the critical f(x)=(x-5)e^{-(x-5)} ?

The critical f(x)=(x-5)e^{-(x-5)} is x=6

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critical f(x)=(x-5)e^{-(x-5)}

critical points

f (x) = (x - 5) e^{- (x - 5)}

x = 6

Solution steps

(x - 5) e^{- (x - 5)}

Find where

f^{'} (x)

is equal to zero or undefined

x = 6

Identify critical points not in

f (x)

domain

Domain of

(x - 5) e^{- (x - 5)} : - \infty < x < \infty

All critical points are in domain

x = 6

y = x - 1

f (x) = x^{2} - 2 x - 7

(x - 7)^{2}

f (x) = \frac{x ^{2} + x - 12}{- 4 x}

f (x) = \frac{7 x + 3}{x - 5}

What is the critical f(x)=(x-5)e^{-(x-5)} ?
The critical f(x)=(x-5)e^{-(x-5)} is x=6