If y = | array ccc x & x & x x & - x & x x & 1 & 1 array | , then dy dx is equal to

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If y = \[\left|\begin{array}{ccc} \sin x & \cos x & \sin x \\ \cos x & -\sin x & \cos x \\ x & 1 & 1 \end{array}\right|\], then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is equal to
  1. 1
  2. –1
  3. 0
  4. None of these

Answer

(A) 1

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