If y = e tan x , then cos 2 x d ^ 2 y dx ^ 2 =

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If y = etan x, then cos2 x \(\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}=\)
  1. (1 – sin 2 x)\(\frac{\mathrm{dy}}{\mathrm{dx}}\)
  2. –(1 + sin 2x) \(\frac{\mathrm{dy}}{\mathrm{dx}}\)
  3. (1 + sin2 x)\(\frac{\mathrm{dy}}{\mathrm{dx}}\)
  4. None of these

Answer

(C) (1 + sin2 x) dy dx

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