Function Expression :
\[f(x)=\frac{6-4x}{3^3\sqrt{1-x}^4} \]Domain
\[\left]-\infty, 1\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow1} }f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\left(-4\right) \frac{1}{27} \frac{1}{\left(1 - x\right)^{2}} + \frac{\left(54 - 54 x\right) \left(\left(-1\right) 4 x + 6\right)}{729 \left(1 - x\right)^{4}} \]\[f^{\,\prime}(x)=\frac{4 \left(x - 2\right)}{27 \left(x - 1\right)^{3}} \]
\[ \]
Integral
\[F(x) = - \frac{4 \log{\left(x - 1 \right)}}{27} - \frac{2}{27 x - 27} \]Sign Table
Variation Table
Plot
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