Home
Class 12
MATHS
On [1,e] the greatest value of x^(2) log...

On [1,e] the greatest value of `x^(2) log x` is

A

`-e^(2)`

B

`e^(2)`

C

`(1)/(e )log""(1)/(sqrt(e ))`

D

`e^(2) log sqrt(e )`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and least values of f(x)=x^(2)log x in [1,e]

On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m and M respectively, then [ sqrt(M +m)] is : (where [] denotes greatest integer function)

If the greatest value of y= x/log x on [e, e^(3)] is u then u is equal to (given e= 2.71)

Find the greatest and the least values of the following functions on the indicated intervals : f(x)=x^(3) " ln x on" [1,e]

The greatest value of the function log_(x) 1//9 - log_(3) x^(2) (x gt 1) is

Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x in [(1)/(sqrt(3)), sqrt(3)] .

If f(x) = (x)/(1+(log x)(log x)....oo), AA x in [1, 3] is non-differentiable at x = k. Then, the value of [k^(2)] , is (where [*] denotes greatest integer function).

Write a value of int e^(2)x^(2+ln x)dx

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The function f(x)=log x

    Text Solution

    |

  2. The function f(x)=x log x

    Text Solution

    |

  3. On [1,e] the greatest value of x^(2) log x is

    Text Solution

    |

  4. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  5. The function f(x)=x^(2)e^(x) has minimum value

    Text Solution

    |

  6. The function f(x)=x^(2)e^(x) has maximum value

    Text Solution

    |

  7. The function f(x)=x^(x) has

    Text Solution

    |

  8. The value of a for which the sum of the square of the roots of the equ...

    Text Solution

    |

  9. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  10. The real numbers which must exceeds its cube is

    Text Solution

    |

  11. If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.

    Text Solution

    |

  12. Two parts of the number 20 such that their product is maximum are

    Text Solution

    |

  13. Divide the number 84 into two parts such that the product of one part ...

    Text Solution

    |

  14. The sum of squares of two parts of a number 100 is minimum, then two p...

    Text Solution

    |

  15. The combined resistance R of two resistors R(1) and R(2) " where " R(1...

    Text Solution

    |

  16. A telephone company in the town has 5000 subscribers on its list and c...

    Text Solution

    |

  17. A manufacturer can sell x items at the price of Rs. (330-x) each. The ...

    Text Solution

    |

  18. Find the position of the point P on seg AB of length 8 cm, so that "AP...

    Text Solution

    |

  19. Two sides of a triangle are given. The angle between them such that th...

    Text Solution

    |

  20. The perimeter of a triangle is 10 cm. If one of the side is 4 cm, then...

    Text Solution

    |