If $x$ and $y$ are connected parametrically by the equations,without eliminating the parameter,find $\frac{dy}{dx}$ for $x=2at^{2}$ and $y=at^{4}$.

  • A
    $t^{2}$
  • B
    $2t^{2}$
  • C
    $t$
  • D
    $4t^{2}$

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