If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=(sin^3t)/(sqrt(cos2t)), y=(cos^3t)/(sqrt(cos2t))`

Explanation

To find \(\frac{dy}{dx}\) for the given parametric equations \(x = \frac{\sin^3 t}{\sqrt{\cos 2t}}\) and \(y = \frac{\cos^3 t}{\sqrt{\cos 2t}}\), we will use the chain rule. The formula we will use is:

\[ \frac{dy}{dx} = \frac{dy/dt}{dx/dt} \]

### Step 1: Differentiate \(x\) with respect to \(t\)

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