CBSE Class 12 Math 2022 Term I Solved Paper

Question : 1 of 50

Marks: +1, -0

In this section, attempt any 16 questions out of Questions 1-20. Each question is of one mark.
1. Differential of

\log [\log (\log x^5) ]

w.r.t

x

Solution:

Explanation: Let

∴ \;\; \;{d}/{d x}\;=\;{1}/{\log (\log x^5) } \;{d}/{d x} [\log (\log x^5) ]

\;=\;{1}/{\log (\log x^5) } ⋅ \;{1}/{\log x^5} \;{d}/{d x} \log x^5

\;=\;{1}/{\log (x^5) \log (\log x^5) } \;{1}/{x^5} \;{d}/{d x} (x^5)

\;=\;{5}/{x \log (x^5) \log (\log x^5) }

Go to Question:

Next Question