If `x=acos^3theta` and `y=asin^3theta,` then find the value of `(d^2y)/(dx^2)` at `theta=pi/6dot`

Explanation

To find the value of \(\frac{d^2y}{dx^2}\) at \(\theta = \frac{\pi}{6}\), given \(x = a \cos^3 \theta\) and \(y = a \sin^3 \theta\), we will follow these steps:

### Step 1: Differentiate \(x\) with respect to \(\theta\)
Given:
\[ x = a \cos^3 \theta \]
Using the chain rule, we differentiate:
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