d dx ( x) = - Vidyadip

MCQ

${d \over {dx}}\log (\log x) =$

A
${x \over {\log x}}$
B
${{\log x} \over x}$
✓
${(x\log x)^{ - 1}}$
D
None of these

✓

Answer

Correct option: C.

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

c
(c) $\frac{d}{{dx}}\log (\log x) = \frac{1}{x}.\frac{1}{{\log x}} = {(x\log x)^{ - 1}}$.

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