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

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

A

(1, 2e)

B

(0,e)

C

(2, 2e)

D

(1/e, 2e)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = (x)/(3) + (3)/(x) decreases in the interval

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

The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

Show that the function given by f (x) = e ^(2x) is increasing on R.

THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is increasing in

The function f(x) = x^(2) + 2x - 5 is strictly increasing in the interval

The function f(x)=log(x+sqrt(x^(2)+1)) is :

The value of 'c' in Lagrange's Theorem for the function f(x)=log(sinx) in the interval [(pi)/(6), (5pi)/(6)] is :

Let I be any interval disjoint from [–1, 1]. Prove that the function f given by 1 f(x) =x+(1)/(x) is increasing on I.

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If f(x) = x^(3)-6x^(2)+9x+3 be a decreasing function, then x lies in

    Text Solution

    |

  2. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

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

    Text Solution

    |

  4. 2x^(3)-6x+5 is an increasing function, if

    Text Solution

    |

  5. If x-2y = 4, then the minimum value of xy is

    Text Solution

    |

  6. The minimum vallue of f(x) = sin^(4)x + cos^(4)x, 0 le x le pi/2 is

    Text Solution

    |

  7. If ab = 2a + 3b, a gt 0, b gt 0, then the minimum value of ab is

    Text Solution

    |

  8. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  9. Function f(x) = (lambda sin x + 6 cos x)/(2 sin x + 3 cos x) is monoto...

    Text Solution

    |

  10. The function f(x) = a sin x + 1/3 sin 3x has a maximum value of x = p...

    Text Solution

    |

  11. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  12. If p and q are positive real numbers such that p^(2)+q^(2)=1 then the ...

    Text Solution

    |

  13. On the interval [0,1] the function x^(25)(1-x)^(75) takes its maximum ...

    Text Solution

    |

  14. Let P(x)=a(0)+a(1)x^(2)+a(2)x^(4)+a(3)x^(6)+……+a(n)x^(2n) be a polynom...

    Text Solution

    |

  15. The function f(x) = int1^(x) [2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)] dt ...

    Text Solution

    |

  16. Let, f(x) = int e^(x) (x-1)(x-2) dx, then f(x) decreases in the interv...

    Text Solution

    |

  17. If f(x) = xe^(x(1-x), then f(x) is

    Text Solution

    |

  18. The number of values of x where the function f(x) = cos x + cos (sqrt2...

    Text Solution

    |

  19. If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

    Text Solution

    |

  20. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in :

    Text Solution

    |