differentiation

Question: If $f(x)={{\tan }^{-1}}\left\{ \frac{\log \left( \frac{e}{{{x}^{2}}} \right)}{\log (e{{x}^{2}})} \right\}+{{\tan }^{-1}}\left( \frac{3+2\log x}{1-6\log x} \right)$, then $\frac{{{d}^{n}}y}{d{{x}^{n}}}$ is $(n\ge 1)$

1) ${{\tan }^{-1}}\{{{(\log x)}^{n}}\}$

2) 0

3) $\frac{1}{2}$

4) None of these

Solution:

Explanation: No Explanation

Differentiation by substitution Higher order derivatives

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