Differentiate the following w.r.t. x:
`(sinx)^x+sin^(-1)sqrt(x)`

Explanation

To differentiate the function \( y = (\sin x)^x + \sin^{-1}(\sqrt{x}) \) with respect to \( x \), we will follow these steps:

### Step 1: Differentiate the function
We start with the function:
\[ y = (\sin x)^x + \sin^{-1}(\sqrt{x}) \]

### Step 2: Differentiate the first term \( (\sin x)^x \)
Let \( u = (\sin x)^x \). To differentiate \( u \), we can use logarithmic differentiation:
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