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Popular Functions >

critical 1/(x-1)-1/x

Solution

critical points

\frac{1}{x - 1} - \frac{1}{x}

Solution

x = \frac{1}{2}

Solution steps

\frac{1}{x - 1} - \frac{1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{2}, x = 0, x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{1}{x - 1} - \frac{1}{x} : x < 0 or 0 < x < 1 or x > 1

\frac{1}{x - 1} - \frac{1}{x}

is not defined at

x = 0, x = 1

, therefore:

x = \frac{1}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the critical 1/(x-1)-1/x ?
The critical 1/(x-1)-1/x is x= 1/2