Differentiate `x^(x^x)` + `(logx)^(sinx)` with respect to `x` :

Explanation

To differentiate the function \( f(x) = x^{(x^x)} + (\log x)^{\sin x} \) with respect to \( x \), we will use the properties of logarithmic differentiation and the chain rule. Let's break this down step by step.

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

Let \( y = x^{(x^x)} \).

Taking the natural logarithm of both sides, we have:
\[
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