A particle is moving along the curve $y=2\sqrt{5x+11}$. As the particle passes through the point $(5,12)$, its $x$-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
I got $\frac{298}{13}$ which is incorrect. I think what I am having the most trouble with is finding the $\frac{dy}{dt}$ value.