Home
Class 11
MATHS
The function (log x) /x is increasing in...

The function `(log x) /x` is increasing in

A

(1,2e)

B

(0,e)

C

(2,2e)

D

`(1/e,2e)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-I|31 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

The function log (log x) in increasing in

The function f(x) =3x^2-4x is increasing in

The function x+log((x)/(1+x)) is increasing when x belong to the interval

The function f(x) =10 -x^3+3x is increasing in

The function f(x) =(log x)/x decreases in

Prove that the function log sin x is strictly increasing (0,pi/2) and strictly decreasing on (pi/2,pi)

The function sinh (sin x) increasing in

The function f(x) =Cot^(-1)x+x increasing in the interval

The function xe^x is increasing in

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
  1. The function f(x)=cos(pi/x) is monotonically increasing in the interva...

    Text Solution

    |

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

    Text Solution

    |

  3. The function (log x) /x is increasing in

    Text Solution

    |

  4. The interval in which f(x) =2x^2- log x increasing

    Text Solution

    |

  5. If xgt0 thenlog(1+x)-(2x)/(1+x) is

    Text Solution

    |

  6. The function (log x) /x is increasing in

    Text Solution

    |

  7. f(x) is an even function on R and f(x) is increasing on [2,6]. Then

    Text Solution

    |

  8. The function sinh (sin x) increasing in

    Text Solution

    |

  9. Obsereve the following the lists {:("List-I","List-II"),("A) "f(x)=x...

    Text Solution

    |

  10. Let Q(x)=f(x)+f(1-x) and f''(x)lt0 for 0ltxlt1 then on (0,1/2)

    Text Solution

    |

  11. f(x) =(sin^(-1)x)^2+(Cos^(-1)x)^2 is stationary at

    Text Solution

    |

  12. The critical points of the function f(x)=(x-2)^(2//3)(2x+1) are

    Text Solution

    |

  13. If-4lexle4 then the critical points of f(x)=x^2-6(|x|)+4 are

    Text Solution

    |

  14. The maximum and minimum values of f(x)=(x-1)(x-2)(x-3) are

    Text Solution

    |

  15. At x=1 the function y=x^4+3x^3-2x^2-9x+6 has

    Text Solution

    |

  16. The function f(x)=3-2(x+1)^(1//3) has a

    Text Solution

    |

  17. If xy(x-y)=2a^3(agt0) then y has minimum when x =

    Text Solution

    |

  18. If f(x)=sqrtx,g(x)=x^2+1 then the point at which (fog)(x) has relative...

    Text Solution

    |

  19. A particle is moving in a straight line such that its distance at any ...

    Text Solution

    |

  20. The minimum value of the function f(x)=2^(x^2+8x+6) is obtained at x =

    Text Solution

    |