Function Expression :
\[f(x)=ln(\frac{x^2}{4x} ) \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{4 \cdot \left(2 \cdot \frac{1}{4 x} x - \frac{1}{4}\right)}{x} \]\[f^{\,\prime}(x)=\frac{1}{x} \]
\[ \]
Integral
\[F(x) = x \log{\left(x \right)} - 2 x \log{\left(2 \right)} - x \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0041 seconds