Function Expression :
\[f(x)=\sqrt{x^2-4} \]Domain
\[\left]-\infty, -2\right] \cup \left[2, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \overset{<}{\rightarrow-2} }f(x) = 0 \]
\[\lim_{x \overset{>}{\rightarrow2} }f(x) = 0 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{x}{\sqrt{x^{2} - 4}} \]\[f^{\,\prime}(x)=\frac{x}{\sqrt{x^{2} - 4}} \]
\[ \]
Integral
\[F(x) = \frac{x \sqrt{x^{2} - 4}}{2} - 2 \operatorname{acosh}{\left(\frac{x}{2} \right)} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0032 seconds