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-1)^3` is increasing or decreasing.

Text Solution

AI Generated Solution

To determine the intervals where the function \( f(x) = (x+1)^3 (x-1)^3 \) is increasing or decreasing, we will follow these steps: ### Step 1: Find the derivative \( f'(x) \) We start by differentiating the function \( f(x) \). 1. **Rewrite the function**: \[ ...
Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 Videos
  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

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

Find the intervals in which f(x)=(x)/(log x) is increasing or decreasing

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

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Find the intervals in which the function f(x)=2x^3-9x^2+12 x+15 is inc...

    Text Solution

    |

  2. Find the intervals in which the function f(x)=2x^3+9x^2+12 x+20 is inc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. At x = 4 the functionf (x) = 2 log (x - 2) - x^2 + 4x +1 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. At x='p' the function f(x)=sin3xcos3x , , is

    Text Solution

    |

  20. Function f(x)=x^3-3x^2+3x-100 is increasing at x=?

    Text Solution

    |