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Derivatives of inverse functions

Let ff and gg be inverse functions.
The following table lists a few values of ff, gg, and ff'.
xxf(x)f(x)g(x)g(x)f(x)f'(x)
22119913\dfrac13
99221010112\dfrac{1}{12}
g(2)=g'(2)=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}