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