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99 Percentile Qs Bank for JEE MainMathematicsDifferentiation

If y = tan - 1 sin x + cos x cos x - sin x , then d y d x is equal to

Options

  1. A1 2
  2. B0
  3. C1
  4. D- 1

Correct answer

C. 1

Step-by-step solution

We have, y = tan - 1 sin x + cos x cos x - sin x ⇒ y = tan - 1 1 + tan x 1 - tan x ⇒ y = tan - 1 tan π 4 + x ⇒ y = π 4 + x Differentiating both sides w.r.t. x , we get d y d x = 1

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