Home
Class 11
MATHS
Differentiate the following function wit...

Differentiate the following function with respect of `x :1/(a x^2+b x+c)`

Text Solution

Verified by Experts

Here `f(x)=1/ax^2+bx+c`
∴`f′(x)=(d/dx)(1/ax^2+bx+c)`
=`[(ax^2+bx+c)(d/dx)(1)−1.(d/dx)(ax^2+bx+c)]/(ax^2+bx+c)^2`
...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos
  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following function with respect of x:x^(n)tan x

Differentiate the following function with respect of x:sin^(2)x

Differentiate the following function with respect of x:x^(3)sin x

Differentiate the following functions with respect to e^(tan x)

Differentiate the following function with respect to x:x^((1)/(x))

Differentiate the following function with respect of x:(x)/(1+tan x)

Differentiate the following function with respect of x:(x)/(1+tan x)

Differentiate the following function with respect of x:sin x cos x

Differentiate the following function with respect of x:x^(3)e^(x)

Differentiate the following function with respect of x:(1+x^(2))cos x

RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Differentiate the following function with respect of x :(secx-1)/(secx...

    Text Solution

    |

  2. Differentiate the following function with respect of x :(x^2+1)/(x+1)

    Text Solution

    |

  3. Differentiate the following function with respect of x :1/(a x^2+b x+c...

    Text Solution

    |

  4. Differentiate the following function with respect of x :(xtanx)/(s e c...

    Text Solution

    |

  5. Differentiate the following function with respect of x :(sin x-xcos x)...

    Text Solution

    |

  6. Differentiate the following function with respect of x :(a+sinx)/(1+as...

    Text Solution

    |

  7. Differentiate the following function with respect of x : x/(1+tanx)

    Text Solution

    |

  8. Differentiate the following function with respect of x :(secx-1)/(secx...

    Text Solution

    |

  9. Differentiate the following function with respect of x\:(x^n)/(sinx)

    Text Solution

    |

  10. Differentiate the following function with respect of x :(x^2+1)/(x+1)

    Text Solution

    |

  11. Differentiate the following function with respect of x \ :(a x^2+b x+c...

    Text Solution

    |

  12. Differentiate the following function with respect of x :(e^x)/(1+x^2)

    Text Solution

    |

  13. Differentiate the following function with respect of x :(xsinx)/(1+cos...

    Text Solution

    |

  14. Differentiate the following function with respect of 2-x+1)/(x^2+x+1)

    Text Solution

    |

  15. Differentiate the following function with respect of x :(1+logx)/(1-lo...

    Text Solution

    |

  16. Differentiate the following function with respect of x :(a+bsinx)/(c+d...

    Text Solution

    |

  17. Differentiate the following function with respect of x :(x^5-cos x)/(s...

    Text Solution

    |

  18. Differentiate the following function with respect of x :(a x+b)/(p x^2...

    Text Solution

    |

  19. Differentiate the following function with respect of x : x/(1+tanx)

    Text Solution

    |

  20. Differentiate the following function with respect of x \ :(2^xcotx)/(s...

    Text Solution

    |