Function Expression :
\[f(x)=x^4+4x^3-2x-1 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=4 x^{3} + 12 x^{2} - 2 \]\[f^{\,\prime}(x)=2 \cdot \left(2 x^{3} + 6 x^{2} - 1\right) \]
Integral
\[F(x) = \frac{x^{5}}{5} + x^{4} - x^{2} - x \]Sign Table
Variation Table
Plot
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