What is the critical f(x)=(e^x+e^{-x})/3 ?

The critical f(x)=(e^x+e^{-x})/3 is x=0

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critical f(x)=(e^x+e^{-x})/3

critical points

f (x) = \frac{e ^{x} + e ^{- x}}{3}

x = 0

Solution steps

\frac{e ^{x} + e ^{- x}}{3}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = 0

y = - 3 x + 6

y = \frac{2 x + 1}{x - 1}

7 x - 5 y = 20

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

f (x) = \frac{x}{5 - x}

What is the critical f(x)=(e^x+e^{-x})/3 ?
The critical f(x)=(e^x+e^{-x})/3 is x=0