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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f(x) = cases 1 + x, & x < 0 x^2 - x + 1, & x 0 cases , then :

Options

  1. Af has a local maximum at x = 0
  2. Bf has a local minimum at x = 0
  3. Cf is increasing everywhere
  4. Df is decreasing everywhere

Correct answer

A. f has a local maximum at x = 0

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