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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let g(x) be the inverse of f(x) such that f'(x) = 1 1 + x^5 , then d^2(g(x)) dx^2 is equal to :

Options

  1. A1 1 + (g(x))^5
  2. Bg'(x) 1 + (g(x))^5
  3. C5(g(x))^4 (1 + (g(x))^5)
  4. D1 + (g(x))^5

Correct answer

C. 5(g(x))^4 (1 + (g(x))^5)

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