Function Expression :
\[f(x)=2x^3-45x^2+300x+6 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=6 x^{2} - 90 x + 300 \]\[f^{\,\prime}(x)=6 \left(x^{2} - 15 x + 50\right) \]
Integral
\[F(x) = \frac{x^{4}}{2} - 15 x^{3} + 150 x^{2} + 6 x \]Sign Table
Variation Table
Plot
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