Home
Class 11
MATHS
Find the differential coefficient of a.x...

Find the differential coefficient of `a.x^(2) sin x` with respect to 'x' .

Text Solution

Verified by Experts

Let `y=a.x^(2).sinx`
`rArr(dy)/(dx)=a.(dx)(x^(2)sinx)`
`=a[x^(2)(d)/(dx)sinx+sinx(d)/(Dx)x^(2)]`
`=a[x^(2).cosx+sinx.2x]`
`=a.x[xcos x+22 sinx]`.
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 differential coefficient of log x^(x) with respect to 'x'.

Find the differential coefficient of sin^(-1)x with respect cos ^(-1)x.

Find the differential coefficient sin ^(-1)(2x+3)

The differential coefficient of sin (cos (x^(2))) with respect to s is .

Find the differential coefficient sin^(-1)(log tan x)

The differential coefficient of f(sin x) with respect to x, where f(x)=log x, is

The dIfferential coefficient of x^6 with respect to x^3 is

Find the nth differential coefficients of y with respect to x following cases: y=(1)/(4x^(2)-1)

Find the differential coefficients of the following functions with respect to x:(1)tan^(3)x and (2)(log x)^(3)

Find the differential coefficients of the following functions with respect to x:(1)log log x^(2) and (e^(x)+e^(-x))/(e^(x)-e^(-x))

NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Find the differential coefficient of a.x^(2) sin 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

    |