Home
Class 11
PHYSICS
If y=x^2logx, then find the value of (d^...

If y=`x^2logx`, then find the value of `(d^2y)/(dx^2)`.

Text Solution

Verified by Experts

`dy/dx=x^21/x+logx.2x=x+2xlogx`
`(d^2y)/(dx^2)=(1)+2x xx1/x+logx.(2)=3+2logx`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    PATHFINDER|Exercise QUESTION BANK|30 Videos

  • WAVE MOTION AND SOUND -I & II

    PATHFINDER|Exercise QUESTION BANK|195 Videos

Similar Questions

Explore conceptually related problems

If y=2^(3-2x) , then the value of (d^2y)/(dx^2) is-

If y=a^(x)b^(2x-1) , then the value of (d^(2)y)/(dx^(2)) is -

If y=tanx, then the value of (d^2y)/(dx^2) is-

If x=acos^3theta,y=a sin^3theta, then find the value of (d^2y)/(dx^2) at θ=π/6

If y=root3(x^2) then the value of (d^2y)/(dx^2) is-

If y^(2)=4ax , then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) is -

If x=acos2t, y=asin2t, find the value of (d^2y)/(dx^2) in terms of t.

If y^2=4ax then the value of (d^2y)/(dx^2) is-

If y=(sin^-1x)^2 , find the value of (1-x^2)(d^2y)/(dx^2)-xdy/dx+4

IF y=cos^2x then the value of [(d^2y)/(dx^2)]_(x=pi/4) is-

PATHFINDER-VECTOR-I AND VECTOR-II-QUESTION BANK
  1. Find the differentiation of the following function y=x^3logx

    Text Solution

    |

  2. Find the differentiation of the following function y=log(x+sqrt(x^2+a...

    Text Solution

    |

  3. If y=x^2logx, then find the value of (d^2y)/(dx^2).

    Text Solution

    |

  4. Find the point of maxima and minima for the function 2x^3-9x^2+100

    Text Solution

    |

  5. Find the minimum value of the function x^3-7x^2+8x+5

    Text Solution

    |

  6. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  7. Find maximum or minimum values of the functions (a) y =25 x^(2) + 5 ...

    Text Solution

    |

  8. Find maximum or minimum values of the functions (a) y =25 x^(2) + 5 ...

    Text Solution

    |

  9. Integrate the following functions with respect to x (a) int (5x^2 + ...

    Text Solution

    |

  10. Integrate the following functions with respect to x (a) int (5x^2 + ...

    Text Solution

    |

  11. Integrate the following functions with respect to x (a) int (5x^2 + ...

    Text Solution

    |

  12. This is a line given by y=x. Find the area bounded by the and x-axis a...

    Text Solution

    |

  13. Find the differentiation of the following w.r.t.x. 2001

    Text Solution

    |

  14. Find the differentiation of the following w.r.t.x. Inx

    Text Solution

    |

  15. Find the differentiation of the following w.r.t.x. x^2

    Text Solution

    |

  16. Find the differentiation of the following w.r.t.x. x^(2001)

    Text Solution

    |

  17. Find the differentiation of the following w.r.t.x. x^(3/2)

    Text Solution

    |

  18. Find the differentiation of the following w.r.t.x. 1/sqrtx

    Text Solution

    |

  19. Find the differentiation of the following w.r.t.x. ax+b

    Text Solution

    |

  20. Find the differentiation of the following w.r.t.x. (ax+b)^3

    Text Solution

    |