Home
Class 12
MATHS
Find the intervals on which the followin...

Find the intervals on which the following function is strictly increasing and strictly decreasing : `x/logx,` x>0.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    PATHFINDER|Exercise QUESTION BANK|327 Videos

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

Similar Questions

Explore conceptually related problems

Find the intervals on which the following function is strictly increasing and strictly decreasing : f(x)=2x^3+x^2-20 .

Find the intervals in which the following functions are increasing or decreasing f(x)=6x^2-14x

Find the intervals in which the following functions are increasing or decreasing f(x)=3x^2-4x

Find the intervals in which the follwing functions are increasing or decreasing f(x)=5x^2+7x-13

Find the intervals in which the follwing functions are increasing or decreasing f(x)=-3x^2+12x+8

Find the intervals in which the functions are strictly increasing or decreasing: -2x^(3)-9x^(2) -12x+1

Find the intervals in which the functions are strictly increasing or decreasing: (x+1)^(3) (x-3)^(3)

Find the intervals in which the functions are strictly increasing or decreasing: 10-6x-2x^(2)

Find the intervals in which the functions are strictly increasing or decreasing: 6-9x-x^(2)

Find the intervals in which the functions are strictly increasing or decreasing: x^(2) +2x-5

PATHFINDER-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. At what point of the ellipes 16x^2+9y^2=400, does the ordinate decrea...

    Text Solution

    |

  2. A particle moves along the curve 6y = x^(3) +2. Find the points on the...

    Text Solution

    |

  3. A ladder 16 cm long is leaning against a wall. The bottom of the ladde...

    Text Solution

    |

  4. Water is leaking from a conical funnel at the rate of 5 cm^3/sec. If t...

    Text Solution

    |

  5. Show that f(x)=(1/2)^x is strictly decreasing on R.

    Text Solution

    |

  6. Show that : tanx -x is strictly increasing on (0,pi/2).

    Text Solution

    |

  7. Show that the following function is strictly increasing :f(x)=x^2,x>0.

    Text Solution

    |

  8. Find the intervals on which the following function is strictly increas...

    Text Solution

    |

  9. Find the intervals on which the following function is strictly increa...

    Text Solution

    |

  10. Find the intervals on which the following function is strictly increa...

    Text Solution

    |

  11. FInd the slopes of the tangents and normals to the following curve: x=...

    Text Solution

    |

  12. Show that the tangents to the curve y=x^2-5x+6 at the point (2,0) and ...

    Text Solution

    |

  13. Find the equations of the tangent and normal to the curve y=x^2-4x-5 a...

    Text Solution

    |

  14. Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (...

    Text Solution

    |

  15. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

    Text Solution

    |

  16. FInd the equation of the normal to the curve 3x^2-y^2=8 which is para...

    Text Solution

    |

  17. Show that the curve xy=a^2 and x^2+y^2=2a^2 touch each other.

    Text Solution

    |

  18. Prove that the curves x = y^(2) and xy = k cut at right angles* if 8k^...

    Text Solution

    |

  19. Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2...

    Text Solution

    |

  20. If y=x^4-10 and if x change from 2 to 1.99, what is the approximate c...

    Text Solution

    |