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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 number of integers in the domain of the function F(x) = - f(x) g(x) + 3-x is :

Options

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

Correct answer

C. 2

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