What is ((1/(x+h))-(1/x))/h ?

The solution to ((1/(x+h))-(1/x))/h is -1/(x(x+h))

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simplify ((1/(x+h))-(1/x))/h

simplify

\frac{( \frac{1}{x + h} ) - ( \frac{1}{x} )}{h}

- \frac{1}{x ( x + h )}

Solution steps

\frac{( \frac{1}{x + h} ) - ( \frac{1}{x} )}{h}

Simplify

(\frac{1}{x + h}) - (\frac{1}{x}) : \frac{1}{x + h} - \frac{1}{x}

= \frac{\frac{1}{x + h} - \frac{1}{x}}{h}

Join

\frac{1}{x + h} - \frac{1}{x} : - \frac{h}{x ( x + h )}

= \frac{- \frac{h}{x ( x + h )}}{h}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{h}{x ( x + h )}}{h}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

\frac{\frac{h}{x ( x + h )}}{h} = \frac{h}{x ( x + h ) h}

= - \frac{h}{x ( x + h ) h}

Cancel the common factor:

h

= - \frac{1}{x ( x + h )}

2 (- x + 4) + 5 x - 3 = 11

\frac{3}{5} - \frac{3}{10}

\frac{1}{- 4}

∣ 4 x + 5 ∣ = 2 x - 1

\frac{6}{5} = \frac{a}{20}

What is ((1/(x+h))-(1/x))/h ?
The solution to ((1/(x+h))-(1/x))/h is -1/(x(x+h))