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MHT CET2019Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If y = t a n - 1 - c o s 3 x s i n 3 x then d y d x = …

Options

  1. A- 3 2
  2. B- 1 2
  3. C3 2
  4. D1 2

Correct answer

C. 3 2

Step-by-step solution

We have, y = t a n - 1 1 - c o s 3 x s i n 3 x ⇒ y = t a n - 1 2 s i n 2 3 x 2 2 s i n 3 x 2 c o s 3 x 2 ⇒ y = t a n - 1 sin ⁡ 3 x 2 cos ⁡ 3 x 2 ⇒ y = t a n - 1 t a n 3 x 2 ⇒ y = 3 x 2 ∴ d y d x = 3 2

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