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NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

If f x = 2 sin ⁡ x - x 2 , then in x ∈ 0 , π

Options

  1. Af x has no local maximum
  2. Bf x has one local minimum
  3. Cf x has 2 local maxima
  4. Df x has one local maximum

Correct answer

D. f x has one local maximum

Step-by-step solution

f ′ x = 2 cos x − x Thus, x = α is a local maxima for f x and no local minimum exists

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