Differentiate the following w.r.t. x:
`cos(logx+e^x), x>0`

Explanation

To differentiate the function \( y = \cos(\log x + e^x) \) with respect to \( x \), we will use the chain rule and the properties of derivatives.

### Step-by-Step Solution:

1. **Identify the outer and inner functions**:
Let \( u = \log x + e^x \). Then, we can express \( y \) as:
\[
y = \cos(u)
...