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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) . g'(x) equals

Options

  1. A(1 - x)(f(x) - ) x
  2. B(1 - x)( - f(x)) x
  3. C(1 - x)( - f(x)) f(x)
  4. D(1 - x)( - f(x)) (f(x))^2

Correct answer

C. (1 - x)( - f(x)) f(x)

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