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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

**Paragraph for Question Nos. 6 to 8** Let f(x) 0 ; x (0, ) also f(0) = 0 . Again f'(x) 0 ; x (-1, ) also f'(-1) = 0 given _ x - f(x) = 0 and _ x f(x) = and function is twice differentiable. If f''(x) < 0 ; x (0, ) and f'(0) = 1 then number of solutions of equation f(x) = x^2 is :

Options

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

Correct answer

B. 2

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