#### Answer

$\frac{dy}{dx} = 10(2x+1)^{4}$

#### Work Step by Step

$y = u^{5}$
where,
$u = (2x+1)$
Now,
$\frac{dy}{du}= 5u^{4}$
and,
$\frac{du}{dx} = 2$
So,
$\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}$
$\frac{dy}{dx} = 10u^{4}$
$\frac{dy}{dx} = 10(2x+1)^{4}$