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NEST2015MathematicsApplication of Derivatives

Let R be the set of all real numbers and f: R R be a differentiable function satisfying f^ (x)=x+f(x) . If the graph of f(x) passes through the origin then _ x 0 f(x) x^2

Options

  1. Adoes not exist.
  2. Bis equal to 0 .
  3. Cis equal to 1 / 2 .
  4. Dis equal to 1 .

Correct answer

C. is equal to 1 / 2 .

Step-by-step solution

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