Function Expression :
\[f(x)=\frac{3-6}{x+9} \]Domain
\[\left]-\infty, -9\right[ \cup \left]-9, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow-9} }f(x) = +\infty \]
\[\lim_{x \overset{>}{\rightarrow-9} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{-6 + 3}{\left(x + 9\right)^{2}} \]\[f^{\,\prime}(x)=\frac{3}{\left(x + 9\right)^{2}} \]
\[ \]
Integral
\[F(x) = - 3 \log{\left(x + 9 \right)} \]Sign Table
Variation Table
Plot
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