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