Home
Class 12
MATHS
The function f(x) = (x)/(log x) increase...

The function f(x) = `(x)/(log x)` increases on the interval

A

`(0,oo)`

B

`(0,e)`

C

`(e ,oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES )|4 Videos

  • FUNCTIONS

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (3) |71 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=log x

The function f(x)=x/(xlogx) increase on the interval

The function f(x)= tan^(-1)x +x increases in the interval

the function f(x)=(log x)/(x) is increasing in the interval

f(x) = (2x)/(log x) is increasing in

If a function f(x) increases in the interval (a,b). then the function phi(x)=[f(x)]^(n) increases in the same interval and phi(x)!=f(x) if

Consider the following statements I.The function f(x)=x^(2)+2cos x is increasing in the interval (0,pi). II.The function f(x)=ln(sqrt(1+x^(2))-x) is decreasing in the interval (-oo,oo). Which of the above statement(s) is/are correct?

ML KHANNA-FUNCTIONS-PROBLEM SET (4)
  1. The function f (x)=cot^(-1) x +x increases in the interval

    Text Solution

    |

  2. The function f (x)= x^x decreases on the interval

    Text Solution

    |

  3. The function f(x) = (x)/(log x) increases on the interval

    Text Solution

    |

  4. The function f (x) = ( log x)/( x ) is increasing in the interval

    Text Solution

    |

  5. The function f (x)= ( x)/( 4 +x^2) decreases in the interval

    Text Solution

    |

  6. The function f (x) =tan x-x

    Text Solution

    |

  7. If alpha lt 0, the function (e^( alpha x) +e^(- alpha x )) is a monoto...

    Text Solution

    |

  8. The value of b for which the function f (x)=sin x-bx+c is decreasing i...

    Text Solution

    |

  9. The value of a for which the function f (x) = sin x-Cos x-ax+b decreas...

    Text Solution

    |

  10. y=sin x-a sin2x-1/3 sin 3x + 2ax, then y increases for all values of x...

    Text Solution

    |

  11. The set of values of a 'for which the function f (x) = x^2 + ax +1 is ...

    Text Solution

    |

  12. The length of a longest interval in which the function 3 sin x - 4 sin...

    Text Solution

    |

  13. If f(x) = 2x + cot^(-1) x + log ( sqrt(1+x^2 )-x) then f(x)

    Text Solution

    |

  14. Let h(x) = f (x) -(f (x))^2+ (f (x))^3 for every real number x: Then

    Text Solution

    |

  15. If f(x) = x^(3) + bx^(2) + cx+d and 0 lt b^2 lt c, then in (-oo,...

    Text Solution

    |

  16. The function f (x)=2 log (x - 2) - x^2 + 4x +1 increases on the interv...

    Text Solution

    |

  17. On which of the following intervals is the function f(x)=2x^2 - log |...

    Text Solution

    |

  18. y=[ x(x - 3)^2 ] increases for all values of x lying in the ...

    Text Solution

    |

  19. Let f(x)=inte^x (x - 1)(x-2) dx. Then f decreases in the interval

    Text Solution

    |

  20. Let f (x) = x^3 + ax^2 + bx + 5 sin^2 x be an increasing function on t...

    Text Solution

    |