JEE Main 2014MathematicsFunctionsMediumMCQ

JEE Main 2014 — Functions Question with Solution

JEE Main 2014 (06 Apr)

Question

If g is the inverse of a function f and f'x=11+x5, then g'x is equal to 

Choose an option

Show full solutionCorrect option: B
Correct answer
B1+gx5

Step-by-step explanation

g is the inverse of f i.e.  gx=f-1x 

⇒fgx=x

Differentiating both the sides w.r.t x , we get

f'gx.g'x=1

⇒g'x=1f'gxas  f'x=11+x5

⇒g'x=111+gx5 

g'x=1+gx5

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About this question

This is a previous-year question from JEE Main 2014, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.