Differentiate the following w.r.t. x:
`x^(sinx)+(sinx)^(cosx)`

Explanation

To differentiate the function \( y = x^{\sin x} + (\sin x)^{\cos x} \) with respect to \( x \), we will use the properties of logarithmic differentiation and the product and chain rules.

### Step-by-Step Solution:

1. **Define the Functions**:
Let \( u = x^{\sin x} \) and \( v = (\sin x)^{\cos x} \). Then, we have:
\[
y = u + v
...