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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

A function f(x) satisfies the relation : f(x+y) = f(x) + f(y) + xy(x+y) x,y R . If f'(0) = -1 , then :

Options

  1. Af(x) is a polynomial function
  2. Bf(x) is an exponential function
  3. Cf(x) is twice differentiable for all x R
  4. Df'(3) = 8

Correct answer

A. f(x) is a polynomial function

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