Question

$$\sqrt{ (x-3)(x-5) } + \sqrt{ (1-x)(7-x) }$$

Evaluate

$\sqrt{\left(x-5\right)\left(x-3\right)}+\sqrt{\left(1-x\right)\left(7-x\right)}$

Differentiate w.r.t. x

$\frac{\left(x-4\right)\left(\sqrt{\left(x-5\right)\left(x-3\right)}+\sqrt{\left(1-x\right)\left(7-x\right)}\right)}{\sqrt{\left(1-x\right)\left(7-x\right)\left(x-5\right)\left(x-3\right)}}$