Home
Class 12
MATHS
If g is inverse of function f and f'(x)=...

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

A

cosec {g(x)}

B

sin {g(x)}

C

`(1)/(sin {g(x)})`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos
  • QUESTION-PAPERS-2016

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

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

If g(x) is the inverse of f(x) and f'(x) = cos x, then g'(x) is equal to

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

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

If g(x) is inverse function of f(x)=x^(3)+3x-3 then g'(1)=

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)/(1+x^(3)) then g'(x)=

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

BITSAT GUIDE-QUESTION-PAPERS-2015-MATHEMATICS
  1. The period of tan 3theta is

    Text Solution

    |

  2. If a function f(x) is given by f(x)=x/(1+x)+x/((x+1)(2x+1))+x/((2x+1)(...

    Text Solution

    |

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

    Text Solution

    |

  4. A bag contains (2n + 1) coins. It is known that n of these coins have ...

    Text Solution

    |

  5. If phi(x) is a differentiable function, then the solution of the diffe...

    Text Solution

    |

  6. The area of the region R={(x, y) : |x| le |y| and x^(2) +y^(2) le 1} i...

    Text Solution

    |

  7. Universal set U={x|x^5-6x^4+11x^3-6x^2=0} A={x|x^2-5x+6=0} B={x|x^...

    Text Solution

    |

  8. If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha, then 4x^(2)-4xy cos alpha+y^(2)...

    Text Solution

    |

  9. If (e^(x) +e^(5x))/( e^(3x)) = a(0) +a(1)x +a(2)x^(2) +a(3)x^(3) +…. ...

    Text Solution

    |

  10. Let a, b and c be three vectors satisfying a xx b=(a xx c), |a| =|c| =...

    Text Solution

    |

  11. The total number of 4 digit numbers in which the digit are in descendi...

    Text Solution

    |

  12. The line, which is parallel to X-axis and crosses the curve y=sqrtx at...

    Text Solution

    |

  13. In a triangle, the lengths of the two larger sides are 10 and 9, re...

    Text Solution

    |

  14. The mean of then Numbers 0,1,2,3.......n with respective weights ""^(n...

    Text Solution

    |

  15. The mean square deviation of a set of n observation x(1), x(2), ..... ...

    Text Solution

    |

  16. Let S be the focus of the parabola y^2 = 8x and let PQ be the common c...

    Text Solution

    |

  17. The number of real root of the equation e^(x-1)+x-2=0, is

    Text Solution

    |

  18. Minimise Z=sum(j=1)^n sum(i=1)^m c(ij) x(ij) Subject to sum(i=1)^m x(i...

    Text Solution

    |

  19. A bag contains 3 red and 3 white balls. Two balls are drawn one by one...

    Text Solution

    |

  20. If M be a 3 xx 3 non-singular matrix with det(M)=alpha.If M^-1adj(ad...

    Text Solution

    |