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Formula
Calculate the differentiation
Solve the equation
Graph
$y = - \dfrac { 8 } { x }$
Asymptote
$y = 0$, $x = 0$
Standard form
$y = - \dfrac { 8 } { x }$
Domain
$y \neq 0$
Range
$x \neq 0$
$y = - \dfrac{ 8 }{ x }$
$\dfrac {d } {d x } {\left( y \right)} = \dfrac { 8 } { x ^ { 2 } }$
Calculate the differentiation of the logarithmic function
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { x } } \right)}$
 Calculate the differentiation 
$\color{#FF6800}{ \dfrac { 8 } { x ^ { 2 } } }$
$\begin{cases} - 8 = x y \\ x \neq 0 \end{cases}$
Solve the fractional equation
$\color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { x } }$
 Reverse the left and right terms of the equation (or inequality) 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { x } } = \color{#FF6800}{ y }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { x } } = \color{#FF6800}{ y }$
 If $-\frac{a(x)}{b(x)} = c(x)$ is valid, it is $\begin{cases} -a(x) = b(x) c(x) \\ b(x) \ne 0 \end{cases}$
$\begin{cases} \color{#FF6800}{ - } \color{#FF6800}{ 8 } = \color{#FF6800}{ x } \color{#FF6800}{ y } \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
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Rational function
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