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

Text Solution

Verified by Experts

`g(f(x)) = x`
differentitate wrt x
`g'(f(x))*f'(x) = 1`
`g'(f(x)) = 1/(f'(x)) = 1 + x^5`
`g'((f(x))/(g(x))) = 1 + x^5`
`g`(f(g(x))) = 1 + (g(x))^5`
`g'(x) = 1 + (g(x))^5`
Answer
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|16 Videos
  • SEQUENCES AND SERIES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|18 Videos

Similar Questions

Explore conceptually related problems

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

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

If g is the inverse of f and f'(x) = (1)/(1 + x^(2)) , then g'(x) is equal to

Let g(x) be the inverse of the function f(x) ,and f'(x) 1/(1+ x^(3)) then g(x) equals

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

If g is inverse of function f and f'(x)=sinx , then g'(x) =

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) , then g'(x) is equal to

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) then g'(x) is equal to