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