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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

**Paragraph for Question Nos. 3 to 4** Let f(x) and g(x) be two differentiable functions, defined as : f(x) = x^2 + xg'(1) + g''(2) and g(x) = f(1)x^2 + xf'(x) + f''(x) . The value of f(1) + g(-1) is :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

D. 3

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