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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = _ n x^2 + 2(x+1)^ 2n (x+1)^ 2n+1 + x^2 + 1 , n N and g(x) = ( 1 2 ⁻¹ ( 2f(x) 1 + f^2(x) ) ) , then The number of points where g(x) is non-differentiable x R is :

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

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