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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = (x+1)(x+2)(x+3) (x+100) and g(x) = f(x) f''(x) - (f'(x))^2 . Let n be the number of real roots of g(x) = 0 , then :

Options

  1. An < 2
  2. Bn > 2
  3. Cn < 100
  4. Dn > 100

Correct answer

A. n < 2

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