What is (4/(x+h)-4/x)/h ?

The solution to (4/(x+h)-4/x)/h is -4/(x(x+h))

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simplify (4/(x+h)-4/x)/h

simplify

\frac{\frac{4}{x + h} - \frac{4}{x}}{h}

- \frac{4}{x ( x + h )}

Solution steps

\frac{\frac{4}{x + h} - \frac{4}{x}}{h}

Join

\frac{4}{x + h} - \frac{4}{x} : - \frac{4 h}{x ( x + h )}

= \frac{- \frac{4 h}{x ( x + h )}}{h}

Apply the fraction rule:

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

= - \frac{\frac{4 h}{x ( x + h )}}{h}

Apply the fraction rule:

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

\frac{\frac{4 h}{x ( x + h )}}{h} = \frac{4 h}{x ( x + h ) h}

= - \frac{4 h}{x ( x + h ) h}

Cancel the common factor:

h

= - \frac{4}{x ( x + h )}

5 x - 4 \geq 6

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9 - c = - 13

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