Answer
$\frac{dy}{dx} = -\frac{5}{2} \frac{(\frac{\sqrt x}{2}-1)^{-11}}{\sqrt x}$
Work Step by Step
$y = u^{-10}$
where,
$u = (\frac{\sqrt x}{2}-1)$
Now,
$\frac{dy}{du} = -10u^{-11}$
and,
$\frac{du}{dx} = \frac{1}{4 \sqrt x}$
So,
$\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}$
$\frac{dy}{dx} = -10u^{-11} \times \frac{1}{4 \sqrt x}$
$\frac{dy}{dx} = -\frac{5}{2} \frac{(\frac{\sqrt x}{2}-1)^{-11}}{\sqrt x}$
