Differentiate the following w.r.t. x:
`(xcosx)^x+(xsinx)^(1/x)`

Explanation

To differentiate the function \( y = (x \cos x)^x + (x \sin x)^{1/x} \) with respect to \( x \), we can break it down into two parts and differentiate each part separately.

### Step 1: Define the function
Let:
\[ y = U + V \]
where
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