Function Expression :
\[f(x)=\frac{3}{x+1} \]Domain
\[\left]-\infty, -1\right[ \cup \left]-1, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow-1} }f(x) = -\infty \]
\[\lim_{x \overset{>}{\rightarrow-1} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{3}{\left(x + 1\right)^{2}} \]\[f^{\,\prime}(x)=- \frac{3}{\left(x + 1\right)^{2}} \]
\[ \]
Integral
\[F(x) = 3 \log{\left(x + 1 \right)} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0029 seconds