AP EAMCET · Maths · Differentiation
If \(y=\log _2\left(\log _2 x\right)\), then \(\frac{d y}{d x}=\)
- A \(\frac{\log _2 e}{2 x \log _e x}\)
- B \(\frac{1}{x \log _e x \log _e 2}\)
- C \(\frac{1}{\log _e(2 x)^x}\)
- D \(\frac{1}{\log _2 e \log _e x}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{x \log _e x \log _e 2}\)
Step-by-step Solution
Detailed explanation
Given, \(y=\log _2\left(\log _2 x\right) \Rightarrow y=\frac{\log _e\left(\frac{\log _e x}{\log _e 2}\right)}{\log _{e^2}}\) On differentiating w.r.t. to ' \(x\) ', we are getting…
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