NEW FUNCTION

Function Expression :

\[f(x)=2\sqrt{x}-2-ln(x ) \]

Domain

\[\left]0, \infty\right[ \]

Limits

\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \frac{1}{x} + \frac{1}{\sqrt{x}} \]
\[f^{\,\prime}(x)=\frac{- \sqrt{x} + x}{x^{\frac{3}{2}}} \]

Integral

\[F(x) = \frac{4 x^{\frac{3}{2}}}{3} - x \log{\left(x \right)} - x \]

Sign Table

Variation Table

Plot

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