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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases [x^2] x^2 - 3x + 8 + ax^3 + b ; & 0 x 1 2 x + ⁻¹ x ; & 1 < x 2 cases is differentiable in [0, 2] then : ( [ ] denotes greatest integer function)

Options

  1. Aa = 1 3
  2. Ba = 1 6
  3. Cb = 4 - 13 6
  4. Db = 4 - 7 3

Correct answer

B. a = 1 6

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