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NEST2020MathematicsApplication of Derivatives

Let f: R R be a differentiable function such that _ x f(x) x =0 . Then

Options

  1. Athere exists a real number m such that |f^ (x) | m for all x [0, )
  2. B_ x |F(x)| x^2 =0 where F(x) is an antiderivative of f(x)
  3. C_ x f^ (x)=
  4. D_ x f^ (x)=0 whenever _ x f^ (x) exists

Correct answer

D. _ x f^ (x)=0 whenever _ x f^ (x) exists

Step-by-step solution

No solution available.

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