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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f and g be two differentiable functions such that : f(x) = g'(1) x + (g''(2) - 1)xg(x) = x^2 - f' ( 2 )x + f'' (- 2 ) If (x) = f⁻¹(x) then ' ( 2 + 1 ) equals to :

Options

  1. A2 + 1
  2. B2
  3. C1
  4. D0

Correct answer

C. 1

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