Function Expression :
\[f(x)=\sqrt{21+x^2} \]Domain
\[\left]-\infty, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{x}{\sqrt{x^{2} + 21}} \]\[ \]
Integral
\[F(x) = \frac{x \sqrt{x^{2} + 21}}{2} + \frac{21 \operatorname{asinh}{\left(\frac{\sqrt{21} x}{21} \right)}}{2} \]Sign Table
Variation Table
Plot
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