Function Expression :
\[f(x)=\frac{90+0.12x}{x} \]Domain
\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \frac{3}{25} \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = -\infty \]
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = \frac{3}{25} \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{3}{25 x} - \frac{\frac{3 x}{25} + 90}{x^{2}} \]\[f^{\,\prime}(x)=- \frac{90}{x^{2}} \]
\[ \]
Integral
\[F(x) = \frac{3 x}{25} + 90 \log{\left(x \right)} \]Sign Table
Variation Table
Plot
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