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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = ^2 x 1 + x + ^2 x and g(x) = x + (1 - ) x - x , where R and x [0, /2) . The exhaustive set of values of ' ' such that g'(x) 0 for any x [0, /2) :

Options

  1. A[1, )
  2. B[0, )
  3. C[ 1 2 , )
  4. D[ 1 3 , )

Correct answer

D. [ 1 3 , )

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