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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Function f(x) is such that f(x)=a x+ x^2 2 where a>0 is a parameter. If f (x₁ )-f (x₂ ) x₁-x₂ 2 x₁, x₂ (0, ) and x₁ x₂ , then possible value of ' a ' can be:

Options

  1. A0
  2. B1 / 2
  3. C3 / 2
  4. D1

Correct answer

D. 1

Step-by-step solution

Solve f^ (x) 2 x (0, ) Range of a is [1, ) .

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