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+x^(5)`

B

`5x^(4)`

C

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

D

`1+[g(x)]^(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • EXAMINATION PAPER -2013

    ML KHANNA|Exercise PAPER -II SECTION-3 (MATCHING LIST TYPE)|4 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 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

ML KHANNA-EXAMINATION PAPER-2014 (IIT-JEE-MAIN)-Multiple Choice Question
  1. Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) an ...

    Text Solution

    |

  2. Let a, b, c and d be non-zero numbers. If the point of intersection...

    Text Solution

    |

  3. If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x...

    Text Solution

    |

  4. If a in R and the equation -3(x-[x])^2+""2""(x-[x])""+a^2=""0 (whe...

    Text Solution

    |

  5. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  6. The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C...

    Text Solution

    |

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

    Text Solution

    |

  8. If fk(x)=1/k(sinx+cos^kx) then f4(x)-f6 (x)= (A) 1/12 ...

    Text Solution

    |

  9. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

  10. underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  11. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx equals

    Text Solution

    |

  12. If [(vecaxxvecb, vecbxxvecc, veccxxveca)]=lamda[(veca, vecb, vecc)]^(2...

    Text Solution

    |

  13. The statement ~(pharr ~q) is

    Text Solution

    |

  14. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  15. The variance of first 50 even natural numbers is (1) (833)/4 (2...

    Text Solution

    |

  16. Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...

    Text Solution

    |

  17. If z is complex number such that |z|ge2 then the minimum value of |z+1...

    Text Solution

    |

  18. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  19. Let alpha and beta be the roots of equation px^(2)+qx+r=0,p!=0.If p, q...

    Text Solution

    |

  20. If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=...

    Text Solution

    |