Home
Class 12
MATHS
Find the intervals in which f(x)=(x-1)^3...

Find the intervals in which `f(x)=(x-1)^3(x-2)^2` 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

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

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

Find the intervals in which f(x)={x(x-2)}^2 is increasing or decreasing.

Find the intervals in which f(x)=x^4-4x^3+4x^2+15 is increasing or decreasing.

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

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

Find the intervals in which f(x)=6+12 x+3x^2-2x^3 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)=x^3-6x^2-36 x+2 is increasing or decreasing.

Find the intervals in which f(x)=x^3-6x^2+9x+15 is increasing or decreasing.

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Find the intervals in which the function f(x)=2x^3+9x^2+12 x+20 is inc...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is increasing or decre...

    Text Solution

    |

  4. Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasin...

    Text Solution

    |

  5. Find the intervals in which the function f(x)=log(1+x)-(2x)/(2+x) is i...

    Text Solution

    |

  6. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasin...

    Text Solution

    |

  7. Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 ...

    Text Solution

    |

  8. Find the intervals for which f(x)=x^4-2x^2 is increasing or decreasing...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

    Text Solution

    |

  13. Find the intervals in which f (x) = 2 log (x - 2) - x^2 + 4x +1 is inc...

    Text Solution

    |

  14. Separate [0,\ pi//2] into subintervals in which f(x)=sin3x is increasi...

    Text Solution

    |

  15. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

    Text Solution

    |

  16. Separate the interval [0,\ pi//2] into sub-intervals in which f(x)=sin...

    Text Solution

    |

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

    Text Solution

    |

  18. Find f ' (x) iff(x)= sin3xcos3x

    Text Solution

    |

  19. Prove that the function f(x)=x^3-3x^2+3x-100 is increasing on R .

    Text Solution

    |

  20. Let I be an interval disjointed from [-1,\ 1] . Prove that the functio...

    Text Solution

    |