Home
Class 11
MATHS
Fin d the derivative of (sin x)/(x+e^(x...

Fin d the derivative of `(sin x)/(x+e^(x))` with respect to 'x'.

Text Solution

Verified by Experts

Let `y=(sin x)/(x+e^(x))`
`rArr(dy)/(dx)=(d)/(dx)((sinx)/(x+e^(x)))`
`=((x+e^(x))(d)/(dx)sinx-sinx(d)/(dx)(x+e^(x)))/((x+e^(x))^(2))`
`=((x+e^(x)).cos x-sinx(1+e^(x)))/((x+e^(x))^(2))` .
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13A|52 Videos
  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13B|11 Videos
  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos
  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of 5sin x+e^(x)log x with respect to x.

Find the derivative of (e^(x)sin x) with respect to 'x'.

Find the derivative of the function (x.e^(x)) with respect 'x'.

Find the derivative of sin x. "log"_(e) x with respect to x.

The derivative of sec(e^(x)) with respect to e^(x) is :

What is the derivative of e^(e^(x)) with respect to e^(x) ?

The derivative of sin ^(2) sqrtx with respect to x is :

The derivative of sin x with respect to e ^(x) is :

NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Fin d the derivative of (sin x)/(x+e^(x)) with respect to 'x'.

    Text Solution

    |

  2. Find the derivative of the following functions from first principles:...

    Text Solution

    |

  3. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  4. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  5. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  6. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  7. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  8. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  9. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  10. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  11. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  12. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  13. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  14. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  15. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  16. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  17. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  18. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  19. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  20. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |

  21. Find the derivative of the following functions (it is to be understand...

    Text Solution

    |