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NTA Abhyas JEE Main2020MathematicsDifferentiationPractice

If f x = x 3 + 3 x + 1 and g x is the inverse function of f x , then the value of g ' 5 is equal to

Options

  1. A3
  2. B1 3
  3. C1 6
  4. D6

Correct answer

C. 1 6

Step-by-step solution

∵ f x ,   g x are inverse function of each other ∴ g ' ( f x ) = 1 f ' x Now put x = 1 ;   g ' f 1 = 1 f ' 1 Hence, g ' 5 = 1 3 x 2 + 3 x = 1 = 1 6

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