Function Expression :
\[f(x)=-\frac{3}{x}-4ln x+x \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=1 - \frac{4}{x} + \frac{3}{x^{2}} \]\[f^{\,\prime}(x)=\frac{x^{2} - 4 x + 3}{x^{2}} \]
Integral
\[F(x) = \frac{x^{2}}{2} - 4 x \log{\left(x \right)} + 4 x - 3 \log{\left(x \right)} \]Sign Table
Variation Table
Plot
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