Home
Class 11
MATHS
Prove that the logarithmic function is i...

Prove that the logarithmic function is increasing on (0, `oo`).

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|60 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.1 (Long Answer Questions)|24 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

The function xe^x is increasing in

The function (log x) /x is increasing in

The function sinh (sin x) increasing in

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

Prove that every rational function is continuous.

The function log (log x) in increasing in

Give an example of a trigonometric function which is Strictly increasing on (0,pi/2)

The logarithmic form of 64=2^6 is

The function sin (tanh x) increases in

Show that x + (1)/(x) is increasing on [1, oo) .

AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
  1. Prove that the following functions do not have absolute maximum and ab...

    Text Solution

    |

  2. Prove that the functions do not have maxima or minima: f(x) = e^(x)

    Text Solution

    |

  3. Prove that the logarithmic function is increasing on (0, oo).

    Text Solution

    |

  4. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  5. Use the second derivative test to find local extrema of the function f...

    Text Solution

    |

  6. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  7. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  8. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  9. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  10. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  11. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

    Text Solution

    |

  12. Use the first derivative test to find the local extrema of f(x) =x^(3)...

    Text Solution

    |

  13. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

    Text Solution

    |

  14. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

    Text Solution

    |

  15. The profit function P (x) of a company selling x items is given by P(x...

    Text Solution

    |

  16. Use the second derivative test to find local extrema of the function f...

    Text Solution

    |

  17. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

    Text Solution

    |

  18. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

    Text Solution

    |

  19. If the curved surface of right circular cylinder inscribed in a sphere...

    Text Solution

    |

  20. The profit function P(x) of a company selling x items per day is given...

    Text Solution

    |