Function Expression :
\[f(x)=5x^3-10x^2-1 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
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Derivate
\[f^{\,\prime}(x)=15 x^{2} - 20 x \]\[f^{\,\prime}(x)=5 x \left(3 x - 4\right) \]
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Integral
\[F(x) = \frac{5 x^{4}}{4} - \frac{10 x^{3}}{3} - x \]Sign Table
Variation Table
Plot
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