Home
Class 12
MATHS
Determine the values of x for which f(x)...

Determine the values of `x` for which `f(x)=x^x ,\ x >0` is increasing or decreasing.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

Similar Questions

Explore conceptually related problems

Determine the values of x for which f(x)=(x-2)/(x+1)x!=-1 is increasing or decreasing

Determine the values of x for which f(x)=(x-2)/(x+2),\ \ x!=-1 is increasing or decreasing.

Find the intervals in which f(x)=x/2+2/x ,\ \ x!=0 is increasing or decreasing.

Find the intervals in which f(x)=x/2+2/x , x!=0 is increasing or decreasing.

Find the intervals in which f(x)=x|x|,\ \ x in R is increasing or decreasing:

Find the intervals in which f(x)=2x^3-9x^2+12 x-5 is increasing or decreasing.

Find the intervals in which f(x)=-2x^3-9x^2-12 x+1 is increasing or decreasing.

Find the intervals in which f(x)=2x^3+9x^2+12 x+20 is increasing or decreasing.

Find the intervals in which f(x)=2x^3-15 x^2+36 x+1 is increasing or decreasing.

Find the intervals in which f(x)=x^3-6x^2-36 x+2 is increasing or decreasing.

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

    Text Solution

    |

  2. On which of the following intervals, the function x^(100)+sinx-1 is...

    Text Solution

    |

  3. Determine the values of x for which f(x)=x^x ,\ x >0 is increasing or ...

    Text Solution

    |

  4. Find the intervals in which f(x)=x/(logx) is increasing or decreasing

    Text Solution

    |

  5. If a ,\ b ,\ c are real numbers, then find the intervals in which f(...

    Text Solution

    |

  6. Show that for ageq1,\ \ f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on ...

    Text Solution

    |

  7. Show that f(x)=cos(2x+pi//4) is an increasing function on (3pi//8,\ 7p...

    Text Solution

    |

  8. Find the least value of ' a ' such that the function f(x)=x^2+a x+1 is...

    Text Solution

    |

  9. Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x...

    Text Solution

    |

  10. Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on...

    Text Solution

    |

  11. Find the intervals in which f(x)=10-6x-2x^2 is increasing or decreasin...

    Text Solution

    |

  12. Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

    Text Solution

    |

  13. Find the intervals in which f(x)=6-9x-x^2 is increasing or decreasing.

    Text Solution

    |

  14. Find the intervals in which f(x)=2x^3-12 x^2+18 x+15 is increasing or ...

    Text Solution

    |

  15. Find the intervals in which f(x)=5+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  16. Find the intervals in which f(x)=8+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  17. Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or ...

    Text Solution

    |

  18. Find the intervals in which f(x)=x^3-6x^2-36 x+2 is increasing or decr...

    Text Solution

    |

  19. Find the intervals in which f(x)=2x^3-15 x^2+36 x+1 is increasing or d...

    Text Solution

    |

  20. Find the intervals in which f(x)=2x^3+9x^2+12 x+20 is increasing or de...

    Text Solution

    |