Function Expression :
\[f(x)=-x^4+6x^3-x+5 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 4 x^{3} + 18 x^{2} - 1 \]\[ \]
Integral
\[F(x) = - \frac{x^{5}}{5} + \frac{3 x^{4}}{2} - \frac{x^{2}}{2} + 5 x \]Sign Table
Variation Table
Plot
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