Find `(dy)/(dx) "for"y=xsinxlogxdot`

Explanation

To find \(\frac{dy}{dx}\) for the function \(y = x \sin x \log x\), we will use the product rule of differentiation. The product rule states that if you have two functions \(u(x)\) and \(v(x)\), then the derivative of their product is given by:

\[ \frac{d}{dx}(u \cdot v) = u'v + uv' \]

In our case, we have three functions multiplied together: \(x\), \(\sin x\), and \(\log x\). We can apply the product rule step by step.

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