AP EAMCET · Maths · Differentiation
If \(y=\log _2\left(\log _2 x\right)\), then \(\frac{d y}{d x}\) is equal to
- A \(\frac{\log _e 2}{x \log _e x}\)
- B \(\frac{1}{\log _e(2 x)^x}\)
- C \(\frac{1}{\left(x \log _e x\right) \log _e 2}\)
- D \(\frac{1}{x\left(\log _2 x\right)^2}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{\left(x \log _e x\right) \log _e 2}\)
Step-by-step Solution
Detailed explanation
We have, \(y=\log _2\left(\log _2 x\right)\) Since, \(\log _a^b=\frac{\log b}{\log a}\)…
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