If `x=a cos^3 t " and "y=a sin ^3 t "then find " dy/dx`

Explanation

To find \(\frac{dy}{dx}\) given the parametric equations \(x = a \cos^3 t\) and \(y = a \sin^3 t\), we will follow these steps:

### Step 1: Differentiate \(x\) with respect to \(t\)
We start with the equation for \(x\):
\[ x = a \cos^3 t \]
Now, we differentiate \(x\) with respect to \(t\):
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