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Formula
Graph
$y = x ^ { 3 } - 2 x ^ { 2 } + 4$
$y = 0$
$x$Intercept
$\left ( - \dfrac { \sqrt[ 3 ]{ 6 \sqrt{ 57 } + 46 } } { 3 } - \dfrac { 4 } { 3 \left ( 6 \sqrt{ 57 } + 46 \right ) ^ { \frac { 1 } { 3 } } } + \dfrac { 2 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 4 \right )$
Derivative
$3 x ^ { 2 } - 4 x$
Seconde derivative
$6 x - 4$
Local Minimum
$\left ( \dfrac { 4 } { 3 } , \dfrac { 76 } { 27 } \right )$
Local Maximum
$\left ( 0 , 4 \right )$
Point of inflection
$\left ( \dfrac { 2 } { 3 } , \dfrac { 92 } { 27 } \right )$
$x ^{ 3 } -2x ^{ 2 } +4 = 0$
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