If `(sin^(-1)x)^2+(cos^(-1)x)^2=(17pi^2)/(36)` , find `xdot`

Explanation

To solve the equation \((\sin^{-1} x)^2 + (\cos^{-1} x)^2 = \frac{17\pi^2}{36}\), we will follow these steps:

### Step 1: Rewrite \(\cos^{-1} x\) in terms of \(\sin^{-1} x\)
We know that:
\[ \cos^{-1} x = \frac{\pi}{2} - \sin^{-1} x \]
Let \(y = \sin^{-1} x\). Then, we can rewrite the equation as:
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