Differentiate the following function with respect to `x :` `(log\ x)^x+x^(logx)`

Explanation

To differentiate the function \( y = (\log x)^x + x^{\log x} \) with respect to \( x \), we will break it down into two parts: \( u = (\log x)^x \) and \( v = x^{\log x} \).

### Step-by-Step Solution:

1. **Identify the Function**:
\[ y = u + v = (\log x)^x + x^{\log x} \]
...