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