Home
Class 12
MATHS
If g is the inverse of a function f and ...

If g is the inverse of a function f and `f'(x)=(1)/(1+x^(5)),` then g'(x) is equal to

A

`1/(1+{g(x)}^(5))`

B

`1+{g(x)}^(5)`

C

`1+x^(5)`

D

`5x^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise HLP_TYPE|38 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise JEE ADVANCED|12 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If f(2)=a then g'(2) is equal to

Consider a function f(x)=x^(x), AA x in [1, oo) . If g(x) is the inverse function of f(x) , then the value of g'(4) is equal to

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

Consider the function f(x)=tan^(-1){(3x-2)/(3+2x)}, AA x ge 0. If g(x) is the inverse function of f(x) , then the value of g'((pi)/(4)) is equal to

If g is the inverse function of and f'(x) = sin x then prove that g'(x) = cosec (g(x))

Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:

Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:

Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^(3)) .Find g'(x) in terms of g(x).

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is