Function Expression :
\[f(x)=x^4-2e3x^3+1 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=4 x^{3} - 18 e x^{2} \]\[f^{\,\prime}(x)=x^{2} \cdot \left(4 x - 18 e\right) \]
\[f^{\,\prime}(x)=2 x^{2} \cdot \left(2 x - 9 e\right) \]
Integral
\[F(x) = \frac{x^{5}}{5} - \frac{3 e x^{4}}{2} + x \]Sign Table
Variation Table
Plot
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