Home
Class 12
MATHS
On [1,e], then least and greatest vlaues...

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)

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|8 Videos
  • AREA UNDER CURVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

If f(x)=[2x], where [.] denotes the greatest integer function,then

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x)=[x]+sqrt(x-[x]), where [.] denotes the greatest integer function.Then

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

The function f (x)=[sqrt(1-sqrt(1-x ^(2)))], (where [.] denotes greatest integer function):

If [log_2 (x/[[x]))]>=0 . where [.] denotes the greatest integer function, then :

Domain of f(x)=sqrt([x]-1+x^(2)); where [.] denotes the greatest integer function,is

VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  2. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  3. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  4. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

    Text Solution

    |

  5. Find sum of all possible values of the real parameter 'b' is the diffe...

    Text Solution

    |

  6. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  7. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  8. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  9. There is a point (p,q) on the graph of f(x)=x^2 and a point (r , s) on...

    Text Solution

    |

  10. f (x)= max |2 sin y-x| where y in R then determine the minimum value o...

    Text Solution

    |

  11. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  12. The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

    Text Solution

    |

  13. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  14. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  15. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

    Text Solution

    |

  16. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

    Text Solution

    |

  17. If f (x) is continous and differentiable in [3,9) and f'(x) in [-2,8] ...

    Text Solution

    |

  18. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  19. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  20. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |