Home
Class 12
MATHS
If f(x) = (x^(2)-x)/(x^(2)+2x), then d/d...

If `f(x) = (x^(2)-x)/(x^(2)+2x)`, then `d/dx [f^(-1)(x)] =`

A

`3/(1-x)^2`

B

-3/((1-x^(2))`

C

`1/((1-x^(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

f(x) = ((e^(2x)-1)/(e^(2x)+1)) is

If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x) is :

Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," 1),(1, x = 0),(-1,x = 1):} Then f(x) is continuous for all :

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100 , then f^(')(1) is equal to

If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, then f(1) =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = tan^(-1) ((a cos x - b sin x)/(b cos x + a sin x)), then dy/dx ...

    Text Solution

    |

  2. If sqrt(1-x^(6)) + sqrt(1-y^(6)) = a^(3)(x^(3)-y^(3)) then dy/dx =

    Text Solution

    |

  3. If f(x) = (x^(2)-x)/(x^(2)+2x), then d/dx [f^(-1)(x)] =

    Text Solution

    |

  4. If g(x) = (x^(2)+2x+3) f(x) and f(0) = 5 and lim(x rarr 0) (f(x)-5)/(x...

    Text Solution

    |

  5. The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^...

    Text Solution

    |

  6. Let F(x) = f(x) g(x) h(x) for all real x, where f(x), g(x) and h(x) ar...

    Text Solution

    |

  7. (d^(2)x)/(dy^(2)) equals :

    Text Solution

    |

  8. If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the valu...

    Text Solution

    |

  9. f(x) and g(x) are two differentiable functions on [0,2] such that f^('...

    Text Solution

    |

  10. If f(1) =1 and f^(')(1) =2 then lim(x rarr 1) (sqrt(f(x))-1)/(sqrt(x) ...

    Text Solution

    |

  11. If x^(p) . y^(q) = (x+y)^(p+q), then dy/dx is equal to

    Text Solution

    |

  12. Let y be an implict function of x defined by x^(2x)-2x^(x) cot y -1 = ...

    Text Solution

    |

  13. If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)), then f(g(x)) is...

    Text Solution

    |

  14. The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...

    Text Solution

    |

  15. Let f and g be differentiable functions such that ("fog")'=I. If g'(a)...

    Text Solution

    |

  16. The expression of dy/dx of the function y = a^(x^a^x…oo) is

    Text Solution

    |

  17. If f(x) = log(a) (log(a)x), then f^(')(x) is

    Text Solution

    |

  18. If f(x) is odd differentiable function defined on (-oo,oo), such that ...

    Text Solution

    |

  19. The differential coefficient of f(log x) w.r.t. x when f(x) = log x

    Text Solution

    |

  20. If y = x^(x)^(x)^(x)^(oo), then x(1-y log x) dy/dx =

    Text Solution

    |