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