Answer
$\frac{dy}{dt}$ =10
Work Step by Step
Given that $\frac{dx}{dt}$ = 2 and $y=5x$
on differentiating y with respect to time, we get:
$\frac{dy}{dt}$ = $\frac{d 5x}{dt}$
$\frac{dy}{dt}$ = $5\frac{d x}{dt}$
so $\frac{dy}{dt}$ = 5 $\times$ 2=10
Thus the answer is: $\frac{dy}{dt}$ =10
