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Popular >

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}

Popular Examples

domain of-log_{2}(3x-5)domain

- lo g_{2} (3 x - 5)

domain of 9/5 x+32 domain

\frac{9}{5} x + 32

midpoint (-4,-7),(8,-3)midpoint

(- 4, - 7), (8, - 3)

domain of f(x)= 2/5 x+4 domain

f (x) = \frac{2}{5} x + 4

slope of 10x+25y=1 slope

10 x + 25 y = 1

Frequently Asked Questions (FAQ)

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