Function Expression :
\[f(x)=\sqrt{2x^{2-1}} \]Domain
\[\left[0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{x^{-1 + 2} \sqrt{2} \sqrt{x^{-1 + 2}} \left(-1 + 2\right)}{2 x^{2}} \]\[f^{\,\prime}(x)=\frac{\sqrt{2}}{2 \sqrt{x}} \]
\[ \]
Integral
\[F(x) = \frac{2 \sqrt{2} \left(x^{-1 + 2}\right)^{\frac{3}{2}}}{3} \]Sign Table
Variation Table
Plot
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