# Find the derivatives of the functions. r(x)=\ln |\frac{-x+1}{(3x-4)(x-9)}|

Derivatives
Find the derivatives of the functions. $$\displaystyle{r}{\left({x}\right)}={\ln}{\left|{\frac{{-{x}+{1}}}{{{\left({3}{x}-{4}\right)}{\left({x}-{9}\right)}}}}\right|}$$
$$\displaystyle{r}'{\left({x}\right)}={\frac{{{1}}}{{{x}-{1}}}}-{\frac{{{3}}}{{{3}{x}-{4}}}}-{\frac{{{1}}}{{{x}-{9}}}}$$