Function Expression :
\[f(x)=\frac{36\sqrt{5}}{x-2} \]Domain
\[\left]-\infty, 2\right[ \cup \left]2, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow2} }f(x) = -\infty \]
\[\lim_{x \overset{>}{\rightarrow2} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{36 \sqrt{5}}{\left(x - 2\right)^{2}} \]\[f^{\,\prime}(x)=- \frac{36 \sqrt{5}}{\left(x - 2\right)^{2}} \]
\[ \]
Integral
\[F(x) = 36 \sqrt{5} \log{\left(x - 2 \right)} \]Sign Table
Variation Table
Plot
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