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Let f x = sin 3 ⁡ x - 3 sin ⁡ x + 6 ,   ∀ x ∈ 0 , π . The number of local maximum/maxima of the function f ( x ) is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

Step-by-step solution

As f ′ x = 3 sin 2 x . cos x − 3 cos x = 3 cos ⁡ x sin 2 ⁡ x - 1 Hence, f x shows no local maximum.

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