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Formula
Calculate the differentiation
$\dfrac{d}{dx}{ \left( \dfrac{ 1 }{ x } \right) }$
$- \dfrac { 1 } { x ^ { 2 } }$
Calculate the differentiation
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ \dfrac { 1 } { x } } \right)}$
 It is $\frac{d}{dx}{(\frac{f(x)}{g(x)})} = \frac{(\frac{d}{dx}f(x))g(x) - f(x)(\frac{d}{dx}g(x))}{g(x)^{2}}$
$\color{#FF6800}{ \dfrac { \dfrac {d } {d x } {\left( 1 \right)} x - \left ( 1 \dfrac {d } {d x } {\left( x \right)} \right ) } { x ^ { 2 } } }$
$\dfrac { \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ 1 } \right)} x - \left ( 1 \dfrac {d } {d x } {\left( x \right)} \right ) } { x ^ { 2 } }$
 If $c$ is a constant, then it is $\frac{d}{dx}c = 0$
$\dfrac { \color{#FF6800}{ 0 } x - \left ( 1 \dfrac {d } {d x } {\left( x \right)} \right ) } { x ^ { 2 } }$
$\dfrac { 0 x - \left ( 1 \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)} \right ) } { x ^ { 2 } }$
 It is $\frac{d}{dx}x = 1$
$\dfrac { 0 x - \left ( 1 \times \color{#FF6800}{ 1 } \right ) } { x ^ { 2 } }$
$\color{#FF6800}{ \dfrac { 0 x - \left ( 1 \times 1 \right ) } { x ^ { 2 } } }$
 Arrange the rational expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { x ^ { 2 } } }$
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