If ( y )^ ( x / 2) + 3 2 Sec –1 (2x) + 2 x tan (log (x+2)) = 0 then dy/dx at x = –1 is

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If \((\sin \mathrm{y})^{\sin (\pi \mathrm{x} / 2)}+\frac{\sqrt{3}}{2}\)Sec–1 (2x) + 2x tan (log (x+2)) = 0 then dy/dx at x = –1 is
  1. \(\frac{3}{\sqrt{\pi^{2}-3}}\)
  2. \(\frac{1}{\pi \sqrt{\pi^{2}-3}}\)
  3. \(\frac{3}{\pi \sqrt{\pi^{2}-3}}\)
  4. \(\frac{3 \pi}{\sqrt{\pi^{2}-3}}\)

Answer

(C) 3 ^ 2 -3

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