JEE Main 2015

JEE Main 2015 Mathematics question on Limits Continuity and Differentiability

If gg is the inverse of a function ff and f′(x)=11+x5f'(x) = \dfrac{1}{1+x^5}, then g′(x)g'(x) is equal to
  1. A.
    1+x21 + x^2
  2. B.
    5x45x^4
  3. C.
    11+{g(x)}5\dfrac{1}{1+\{g(x)\}^5}
  4. D.
    1+{g(x)}51 + \{g(x)\}^5
Show answer

Correct option: D

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