Question

$$= ( \frac { 2 \sqrt { x } + x } { \sqrt { x ^ { 3 } } - 1 } - \frac { 1 } { \sqrt { x } - 1 } ) \div ( 1 - \frac { \sqrt { x } + 2 } { \sqrt { x } + 1 } )$$

Evaluate

$\frac{\sqrt{x}+1}{-x-\sqrt{x}-1}$
$x\geq 0$

Differentiate w.r.t. x

$-\frac{-\sqrt{x}-2}{2\left(x+\sqrt{x}+1\right)^{2}}$
$x\geq 0$