Solve `sin^(-1)xlecos^(-1)x` graphically. Check the differentiability of f (x) =min. `{sin^(-1)xlecos^(-1)x}`. Also find the range of y = f(x)

Explanation

To solve the inequality \( \sin^{-1} x \leq \cos^{-1} x \) graphically, we will follow these steps:

### Step 1: Understand the Functions
The functions \( \sin^{-1} x \) (arcsin) and \( \cos^{-1} x \) (arccos) have specific ranges:
- The range of \( \sin^{-1} x \) is \( [-\frac{\pi}{2}, \frac{\pi}{2}] \).
- The range of \( \cos^{-1} x \) is \( [0, \pi] \).

### Step 2: Graph the Functions
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