Function Expression :
\[f(x)=-\frac{x^3}{3}-x^2+15x+5 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- x^{2} - 2 x + 15 \]\[ \]
Integral
\[F(x) = - \frac{x^{4}}{12} - \frac{x^{3}}{3} + \frac{15 x^{2}}{2} + 5 x \]Sign Table
Variation Table
Plot
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