Differential coefficient of $log_e[log_e(log_ex^5)]$ with respect to x is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{5}{xlog_e(x^5)log_e(log_ex^5)}$
$y=\log\log\log x^5$
$\frac{dy}{dx}=\frac{5x^4}{x^5(\log(\log x^5))(\log x^5)}$
Using chain rule
$=\frac{5}{x(\log(\log x^5))(\log x^5)}$