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Let g x = x - 2 and h x = g g x be two functions, then the value of h ' - 1 + h ' 1 + h ' 3 + h ' 5 is equal to (where, h ' denotes the derivative of h )

Options

  1. A2
  2. B- 1
  3. C0
  4. D1

Correct answer

C. 0

Step-by-step solution

g x =   x - 2 , x > 2 2 - x , x < 2 h x = g x - 2 , g x > 2 2 - g x , g x < 2 h x = x - 4 , x ≥ 4 - x , x ≤ 0 4 - x , x , x ∈ 2,4 x ∈ 0,2 Then, h ' - 1 + h ' 1 + h ' 3 + h ' 5 = 0

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