Function Expression :
\[f(x)=-\frac{6}{(x-3 )^4} \]Domain
\[\left]-\infty, 3\right[ \cup \left]3, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow3} }f(x) = -\infty \]
\[\lim_{x \overset{>}{\rightarrow3} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{24}{\left(x - 3\right)^{5}} \]\[f^{\,\prime}(x)=\frac{24}{\left(x - 3\right)^{5}} \]
\[ \]
Integral
\[F(x) = \frac{6}{3 x^{3} - 27 x^{2} + 81 x - 81} \]Sign Table
Variation Table
Plot
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