If y = l og cos x sin x, then dy dx is equal to

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If y = logcos x sin x, then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is equal to
  1. (cot x log cos x + tan x log sin x)/ (log cos x)2
  2. (tan x log cos x + cot x log sin x)/ (log cos x)2
  3. (cot x log cos x + tan x log sin x)/ (log sin x)2
  4. None of these

Answer

(A) (cot x l og cos x + tan x l og sin x)/ ( l og cos x) 2

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