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MHT CET2017MathematicsDifferentiation

If g ( x ) is the inverse function of f ( x ) and f ′ ( x ) = 1 1 + x 4 , then g ′ ( x ) is

Options

  1. A1 + g x 4
  2. B1 - g x 4
  3. C1 + f x 4
  4. D1 1 + g x 4

Correct answer

A. 1 + g x 4

Step-by-step solution

g = f - 1 f g x = x Differentiate w.r.t x f ′ ( g ( x ) ) . g ′ ( x ) = 1 ∴ 1 1 + ( g ( x ) ) 4 . g ′ ( x ) = 1 g ′ ( x ) = 1 + [ g ( x ) ] 4

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