Differentiate the functions given in w.r.t. $x :$ $\sqrt {\large\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}}$

Question

$\begin{array}{1 1} \large\frac{1}{2}\sqrt {\large\frac{(x-1)(x-2)}{(x-8)(x-4)(x-7)}}\begin{bmatrix}\large\frac{1}{x-1}+\frac{1}{x-2}-\frac{1}{x-3}-\frac{1}{x-4}-\frac{1}{x-5}\end{bmatrix} \\\large\frac{1}{2}\sqrt {\large\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}}\begin{bmatrix}\large\frac{1}{x+1}+\frac{1}{x-2}-\frac{1}{x+3}-\frac{1}{x-4}-\frac{1}{x-5}\end{bmatrix} \\ \large\frac{1}{2}\sqrt {\large\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}}\begin{bmatrix}\large\frac{1}{x-1}+\frac{1}{x-2}-\frac{1}{x-3}-\frac{1}{x-4}-\frac{1}{x-5}\end{bmatrix} \\ \large\frac{1}{4}\sqrt {\large\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}}\begin{bmatrix}\large\frac{1}{x-1}+\frac{1}{x-2}-\frac{1}{x-3}-\frac{1}{x-4}-\frac{1}{x-5}\end{bmatrix} \end{array}$