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