Differentiate w.r.t x
`e^(x) log (sin 2x)`

Explanation

To differentiate the function \( e^x \log(\sin(2x)) \) with respect to \( x \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

\[ \frac{d}{dx}(uv) = u \frac{dv}{dx} + v \frac{du}{dx} \]

### Step-by-step Solution:

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