differentiation

Question: If $y = {x^n}\log x + x{(\log x)^n}$, then $\frac{{dy}}{{dx}} = $

1) ${x^{n - 1}}(1 + n\log x) + {(\log x)^{n - 1}}[n + \log x]$

2) ${x^{n - 2}}(1 + n\log x) + {(\log x)^{n - 1}}[n + \log x]$

3) ${x^{n - 1}}(1 + n\log x) + {(\log x)^{n - 1}}[n - \log x]$

4) None of these

Solution:

Explanation: Explanation

standard-differentiation

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