Function Expression :
\[f(x)=x^2(2x-1 )^2(x+1 ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=x^{2} \left(x + 1\right) \left(8 x - 4\right) + x^{2} \left(2 x - 1\right)^{2} + 2 x \left(x + 1\right) \left(2 x - 1\right)^{2} \]\[f^{\,\prime}(x)=x \left(20 x^{3} - 9 x + 2\right) \]
\[ \]
Integral
\[F(x) = \frac{2 x^{6}}{3} - \frac{3 x^{4}}{4} + \frac{x^{3}}{3} \]Sign Table
Variation Table
Plot
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