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Formula
Calculate the differentiation
$\dfrac{d}{dx}{ \left(3x ^{ 2 } -5x \right) }$
$6 x - 5$
Calculate the differentiation
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right)}$
 It is $\frac{d^{n}}{dx^{n}}{(f_1(x) + f_2(x) + ... + f_k(x))} = \frac{d^{n}}{dx^{n}}{f_1(x)} + \frac{d^{n}}{dx^{n}}{f_2(x)} + ... + \frac{d^{n}}{dx^{n}}{f_k(x)}$
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right)} \color{#FF6800}{ + } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right)}$
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right)} + \dfrac {d } {d x } {\left( - 5 x \right)}$
 It is $\frac{d}{dx}{(c f(x))} = c \frac{d}{dx}{f(x)}$
$\color{#FF6800}{ 3 } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right)} + \dfrac {d } {d x } {\left( - 5 x \right)}$
$3 \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right)} + \dfrac {d } {d x } {\left( - 5 x \right)}$
 It is $\frac{d}{dx}(x^{n}) = n x^{n-1}$
$3 \times \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } + \dfrac {d } {d x } {\left( - 5 x \right)}$
$3 \times 2 x ^ { 2 - 1 } + \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right)}$
 It is $\frac{d}{dx}{(c f(x))} = c \frac{d}{dx}{f(x)}$
$3 \times 2 x ^ { 2 - 1 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
$3 \times 2 x ^ { 2 - 1 } - 5 \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
 It is $\frac{d}{dx}x = 1$
$3 \times 2 x ^ { 2 - 1 } - 5 \times \color{#FF6800}{ 1 }$
$3 \times 2 x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } - 5 \times 1$
 Subtract $1$ from $2$
$3 \times 2 x ^ { \color{#FF6800}{ 1 } } - 5 \times 1$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 }$
 Organize the expression 
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
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