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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Consider f(x) = ^5 x + ^5 x - 1, x [0, 2 ] , which of the following is/are correct ?

Options

  1. Af is strictly decreasing in [0, 4 ]
  2. Bf is strictly increasing in [ 4 , 2 ]
  3. CThere exist a number ' c ' in (0, 2 ) such that f'(c) = 0
  4. DThe equation f(x) = 0 has only two roots in [0, 2 ]

Correct answer

A. f is strictly decreasing in [0, 4 ]

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