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Calculate the differentiation
$$\dfrac {d } {d x } {\left( \sqrt{ x } \right)}$$
$\dfrac { 1 } { 2 } \times \dfrac { 1 } { \sqrt{ x } }$
Calculate the differentiation
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \sqrt{ \color{#FF6800}{ x } } \right)}$
 Calculate the differentiation of a square root 
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
$\dfrac { 1 } { 2 } x ^ { - \frac { 1 } { 2 } } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
 It is $\frac{d}{dx}x = 1$
$\dfrac { 1 } { 2 } x ^ { - \frac { 1 } { 2 } } \times \color{#FF6800}{ 1 }$
$\dfrac { 1 } { 2 } x ^ { - \frac { 1 } { 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 1 }$
 Multiplying any number by 1 does not change the value 
$\dfrac { 1 } { 2 } x ^ { - \frac { 1 } { 2 } }$
$\dfrac { 1 } { 2 } x ^ { \color{#FF6800}{ - } \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } }$
 If the exponent is negative, change it to a fraction 
$\dfrac { 1 } { 2 } \times \dfrac { 1 } { x ^ { \frac { 1 } { 2 } } }$
$\dfrac { 1 } { 2 } \times \dfrac { 1 } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } } }$
 Calculate power 
$\dfrac { 1 } { 2 } \times \dfrac { 1 } { \sqrt{ \color{#FF6800}{ x } } }$
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