Question

$$y = 4 \sqrt { \frac { ( 7 x + 1 ) ^ { 8 } } { ( 2 x + 1 ) ( 2 - x ) ^ { 2 } } } \cdot \frac { d y } { d x }$$

Solve for x

$x\in \left(-\frac{1}{2},2\right)\cup \left(2,\infty\right)$
$y=0\text{ and }x\neq 2\text{ and }x>-\frac{1}{2}$

Solve for y

$y=0$
$x\neq 2\text{ and }x>-\frac{1}{2}$