Home
Class 12
MATHS
Differentiate log(3x+2)-x^2log(2x-1) wit...

Differentiate `log(3x+2)-x^2log(2x-1)` with respect to `x` :

Text Solution

Verified by Experts

Let `y=log(3x+2)-x^2log(2x-1)`
`(dy)/(dx)=1/(3x+2)*d/(dx)(3x+2)-2x* log (2x-1)-x^2*1/(2x-1) *d/(dx) (2x-1)`
`=3/(3x+2)-2x log (2x-1) -(2x^2)/(2x-1)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate: (log x)^(x)+x^(log x) with respect to x:

Differentiate: (log x)^(x)+x^(log x) with respect to x.

differentiate: log(log x)

Differentiate log(x+sqrt(a^(2)+x^(2))) with respect to x:

Differentiate log((x^(2)+x+1)/(x^(2)-x+1)) with respect to x:

Differentiate log(x+sqrt(x^(2)+1)) with respect to x:

Differentiate (log)_(7)((log)_(7)x) with respect to x

Differentiate log{x+2+sqrt(x^(2)+4x+1)} with respect to x:

Differentiate (e^(x)log x)/(x^(2)) with respect to x:

Differentiate log sqrt((x-1)/(x+1)) with respect to x:

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate the following functions with respect to (2^xcosx)/((x...

    Text Solution

    |

  2. Differentiate xsin2x+5^x+k^k+(t a n^2x)^3 with respect to x :

    Text Solution

    |

  3. Differentiate log(3x+2)-x^2log(2x-1) with respect to x :

    Text Solution

    |

  4. Differentiate sin^2{log(2x+3)} with respect to x :

    Text Solution

    |

  5. Differentiate e^x \ logsin2x with respect to x .

    Text Solution

    |

  6. Differentiate (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)) with...

    Text Solution

    |

  7. Differentiate log{x+2+sqrt(x^2+4x+1)} with respect to x :

    Text Solution

    |

  8. Differentiate (sin^(-1)x^4)^4 with respect to x :

    Text Solution

    |

  9. Differentiate sin^(-1)(x/(sqrt(x^2+a^2))) with respect to x :

    Text Solution

    |

  10. Differentiate (e^xsinx)/((x^2+2)^3) with respect to x .

    Text Solution

    |

  11. Differentiate 3\ e^(-3x)log(1+x)

    Text Solution

    |

  12. Differentiate the following functions with respect to (x^2+2)/(sqrt...

    Text Solution

    |

  13. Differentiate (x^2(1-x^2)^3)/(cos2x) with respect to x .

    Text Solution

    |

  14. Differentiate log{cot(pi/4+x/2)} with respect to x :

    Text Solution

    |

  15. Differentiate the following functions with respect to e^(a x)secxta...

    Text Solution

    |

  16. Differentiate log(cosx^2) with respect to x :

    Text Solution

    |

  17. Differentiate cos(logx)^2 with respect to x :

    Text Solution

    |

  18. Differentiate logsqrt((x-1)/(x+1)) with respect to x :

    Text Solution

    |

  19. If y=log{sqrt(x-1)-sqrt(x+1)} , show that (dy)/(dx)=(-1)/(2sqrt(x^2-1)...

    Text Solution

    |

  20. If y=sqrt(x+1)+sqrt(x-1) , prove that sqrt(x^2-1)(dy)/(dx)=1/2y

    Text Solution

    |