If `y=x^x+(sinx)^x` , find `(dy)/(dx)`

Explanation

To find the derivative \(\frac{dy}{dx}\) for the function \(y = x^x + (\sin x)^x\), we will differentiate each term separately and then combine the results.

### Step 1: Differentiate \(x^x\)

Let \(u = x^x\). To differentiate \(u\), we can use logarithmic differentiation.

1. Take the natural logarithm of both sides:
\[
...