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Formula

Calculate the differentiation

Answer

Graph

$y = x ^ { 3 } - 2 x - 48$

$x$Intercept

$\left ( \dfrac { 2 } { 3 \left ( \dfrac { 2 \sqrt{ 11658 } } { 9 } + 24 \right ) ^ { \frac { 1 } { 3 } } } + \sqrt[ 3 ]{ \dfrac { 2 \sqrt{ 11658 } } { 9 } + 24 } , 0 \right )$

$y$Intercept

$\left ( 0 , - 48 \right )$

Derivative

$3 x ^ { 2 } - 2$

Seconde derivative

$6 x$

Local Minimum

$\left ( \dfrac { \sqrt{ 6 } } { 3 } , - 48 - \dfrac { 4 \sqrt{ 6 } } { 9 } \right )$

Local Maximum

$\left ( - \dfrac { \sqrt{ 6 } } { 3 } , - 48 + \dfrac { 4 \sqrt{ 6 } } { 9 } \right )$

Point of inflection

$\left ( 0 , - 48 \right )$

$ y=x^{3}-2x-48 $

$\dfrac {d } {d x } {\left( y \right)} = 3 x ^ { 2 } - 2$

Calculate the differentiation of the logarithmic function

$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 48 } \right)}$

$ $ Calculate the differentiation $ $

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$

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