Function Expression :
\[f(x)=\sqrt{x^{2-4}} \]Domain
\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{x \left(-4 + 2\right) \sqrt{x^{-4 + 2}}}{2 x^{2}} \]\[f^{\,\prime}(x)=- \frac{\sqrt{\frac{1}{x^{2}}}}{x} \]
\[ \]
Integral
\[F(x) = \log{\left(\frac{1}{\sqrt{x^{-4 + 2}}} \right)} \]Sign Table
Variation Table
Plot
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