Home
Class 12
MATHS
If g is the inverse of f and f'(x)=1/(2+...

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

A

`1-x^(n)`

B

`1+(f(x))^(n)`

C

`1+(g(x))^(n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|13 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 3|25 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 1|27 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

If g is the inverse of f and f(x)=(1)/(1+x^(3)) then g'(x)=

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

Knowledge Check

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

    A
    `1 + [g(x)]^(2)`
    B
    `(-1)/(1 + [g(x)]^(2))`
    C
    `(1)/(2 (1 + x^(2)))`
    D
    None of these
  • If g(x) is the inverse of f(x) and f'(x) = cos x, then g'(x) is equal to

    A
    sec x
    B
    `sec [g(x)]`
    C
    `cos[g(x)]`
    D
    `-sin[g(x)]`
  • If g is the inverse of function f and f'(x) = sin x, then g'(x) is equal to

    A
    cosec {g(x)}
    B
    sin {g(x)}
    C
    `(1)/(sin {g(x)})`
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

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

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

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