If $x = 2 t^{2}$ and $y = 4 t$, what is $\frac{dy}{dx}$?

Explanation

1. 01

   $\frac{dx}{dt} = 4 t$ and $\frac{dy}{dt} = 4$.

2. 02

   $\frac{dy}{dx} = \frac{dy/dt}{dx/dt} = \frac{1}{t}$.