Home
Class 12
MATHS
Show that the function given by f(x) = (...

Show that the function given by `f(x) = (logx)/x` has maximum at `x=e`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos

  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

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

Show that the function given by f(x) = 3x + 17 is increasing on R.

Show that the function given by f(x) = 7x-3 , is increasing on R.

Show that the function f given by, f(x) = x^3 - 3x^2 + 4x, x in R is increasing on R.

Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is always an increasing function in f, (0,pi/4)

Show that the function given by f(x) = sinx is increasing in (0,pi/2) .

Show that the function 'f' given by: f(x) = |x| + |x-1|, x in R is continuous both at x = 0 and x=1

Show that the function f given by f(X) = 7x - 3 is strictly increasing on R.

PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Using differentials, find the approximate value of the following: (17/...

    Text Solution

    |

  2. Using differentials, find the approximate value of the following: 33^...

    Text Solution

    |

  3. Show that the function given by f(x) = (logx)/x has maximum at x=e

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  5. Find the equation of the normal to curve x^2 = 4y which passes through...

    Text Solution

    |

  6. Show that the normal at any point theta to the curve x = a cos theta +...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x) = sinx + cosx...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

    Text Solution

    |

  9. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  10. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  11. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  12. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  13. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  14. A window is in the form of a rectangle surmounted by a semi-circular o...

    Text Solution

    |

  15. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  16. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  17. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  18. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  19. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  20. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |