Home
Class 12
MATHS
Solve: 1/(x+1)-4/((2+x)^2)>0,\ \ x!=-1,\...

Solve: `1/(x+1)-4/((2+x)^2)>0,\ \ x!=-1,\ -2` .

Text Solution

Verified by Experts

Given, `1/(x+1)-4/((2+x)^2)>0`
=`(1.(x+2)^2-4.(x+1))/((2+x)^2)>0`
=`(x^2+4x+4-4x-4)/((2+x)^2)>0`
`x>0`
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

solve:quad (1)/(x+1)-(4)/((2+x)^(2))>0,x!=-1,-2

Solve: (|x|-1)/(|x|-2)>=0,x in R,x!=+-2

Solve (x-1)(x-2)(1-2x)>0

Solve : (x +2)/(x+1)lt 0

Solve for x : 1/(x+1)+2/(x+2)=4/(x+4) , x!=1, -2, -4

Solve (x^(2)-4)sqrt(x^(2)-1)<0

Solve (x-1)^(2)(x+4)<0

Solve (x-1)(x-2)(1-2x) gt 0 .

Solve: ((1)/(2))^(x^(2)-2x)<1/4

Solve (x^(3)-4x)sqrt(x^(2)-1)=0

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

    Text Solution

    |

  2. Solve: 4x^3-24 x^2+44 x-24 >0 .

    Text Solution

    |

  3. Solve: 1/(x+1)-4/((2+x)^2)>0,\ \ x!=-1,\ -2 .

    Text Solution

    |

  4. Solve: (1+x^2)/(x^2-5x-6)<0

    Text Solution

    |

  5. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

    Text Solution

    |

  6. Solve: (x^2-2x+5)/(3x^2-2x-5)>1/2 .

    Text Solution

    |

  7. Solve: (x^2-2x+24)/(x^2-3x+4)lt=4 .

    Text Solution

    |

  8. Solve: (x^2-4x+7)/(x^2-7x+12)lt=2/3 .

    Text Solution

    |

  9. Show that the function f(x)=2x+3 is strictly increasing function on...

    Text Solution

    |

  10. Show that the function f(x)=x^2 is strictly increasing function on ...

    Text Solution

    |

  11. Show that the function f(x)=a^x ,\ a >1 is strictly increasing on Rdot

    Text Solution

    |

  12. Show that the function f(x)=-3x+12 is strictly decreasing function ...

    Text Solution

    |

  13. Show that the function f(x)=a^x ,\ 0<a<1 is strictly decreasing on R .

    Text Solution

    |

  14. Show that the function f(x)=x^2 is a strictly decreasing function o...

    Text Solution

    |

  15. Show that the function f(x)=x^2 is neither strictly increasing nor ...

    Text Solution

    |

  16. Prove that the function f(x)=(log)e x is increasing on (0,\ oo) .

    Text Solution

    |

  17. Prove that the function f(x)=(log)a x is increasing on (0,\ oo) if a >...

    Text Solution

    |

  18. Prove that f(x)=a x+b , where a ,\ b are constants and a >0 is an incr...

    Text Solution

    |

  19. Prove that f(x)=a x+b , where a ,\ b are constants and a<0 is a decrea...

    Text Solution

    |

  20. Show that f(x)=1/x is a decreasing function on (0,\ oo) .

    Text Solution

    |