What is the critical f(x)= 1/2 x^{-(1/2)}+1/2 ?

The critical f(x)= 1/2 x^{-(1/2)}+1/2 is None

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critical f(x)= 1/2 x^{-(1/2)}+1/2

critical points

f (x) = \frac{1}{2} x^{- (\frac{1}{2})} + \frac{1}{2}

None

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{1}{2} x^{- \frac{1}{2}} + \frac{1}{2} : x > 0

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

is not defined at

x = 0

, therefore:

None

What is the critical f(x)= 1/2 x^{-(1/2)}+1/2 ?
The critical f(x)= 1/2 x^{-(1/2)}+1/2 is None