Home
Class 12
MATHS
Find the intervals in which the function...

Find the intervals in which the function `f(x)=log(1+x)-(2x)/(2+x)` is increasing or decreasing.

Text Solution

Verified by Experts

The correct Answer is:
`(a)(i)[0,infty[" "(ii)]-infty,0]-{-1}`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6c|19 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6d|24 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|20 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

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

The function f(x)=log (1+x)-(2+x) is increasing in

Find the interval in which the function f(x) =2 log (x-2) -x^(2)+4x +1 is increasing .

Find the intervals in which the function f(x)=2x^3-9x^2+12 x+15 is increasing and decreasing.

find the interval(s) in which the function f(x)= (4x^(2)+1)/(x) , is decreasing.

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

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

Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing or increasing.

Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing or increasing.

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6b
  1. Show that the function f(x) = 3x + 2 is strictly increasing function o...

    Text Solution

    |

  2. Show that the function f(x)= x^(2)is strictly increasing function in t...

    Text Solution

    |

  3. Show that the function f(x) = (x - 1) e^(x)+2 is strictly increasing f...

    Text Solution

    |

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

    Text Solution

    |

  5. Show that the function f(x) =- 5x + 2 is strictly decreasing function ...

    Text Solution

    |

  6. Prove that the function given by f(x) = cos xis(a) strictly decreasing...

    Text Solution

    |

  7. Find the intervals in which the following functions are: (i) increas...

    Text Solution

    |

  8. Show that the function f(x) = 1/(1+x^(2)) is increasing function in th...

    Text Solution

    |

  9. Show that the function f(x)=x^(3)+1/(x^(3)) is decreasing function in ...

    Text Solution

    |

  10. Show that y='log(1+x)-(2x)/(2+x)', is an increasing function of x thro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Show that the function f(x) = log (sin x) (i) is strictly increasing...

    Text Solution

    |

  14. Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing i...

    Text Solution

    |

  15. Find the intervals in which the function f given f(x)=\ s in x+cosx ,\...

    Text Solution

    |

  16. Show that the function f(x) = log cos x is : (i) Strictly decreasin...

    Text Solution

    |

  17. prove that (x)/(1+x) lt log (1+x)ltx, for all xgt 0

    Text Solution

    |