Home
Class 12
MATHS
If f(x)=(x)/(x^(2)+1) is increasing func...

If `f(x)=(x)/(x^(2)+1)` is increasing function, then the value of x lies in

A

R

B

`(-infty,-1)`

C

`(1,infty)`

D

(-1,1)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

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

If f(x)=x^(3)-6x^(2)+9x+3 is a strictly increasing function ,then x lies in :

If f(x) = x^(2) e^(-x^(2)/a^(2) is an increasing function then (for a gt 0) , x lies in the interval

The function f(x)=(x)/(x^(2)-1) increasing, if

If f(x)=x^(2) is a real function, find the value of f(1).

If f(x) = x^(2) + kx + 1 is increasing function in the interval [ 1, 2], then least value of k is –

The function f(x)=x^(2)+2x-5 is increasing in the interval

The function f(x)=x^(1//x) is increasing in the interval

The function f(x)= [x(x-2)]^2 is increasing in the set

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The function f(x)=sin^4x +cos ^4 x increases if

    Text Solution

    |

  2. The values of a for which the function (a+2)x^3 - 3x^2 + 9ax-1 decreas...

    Text Solution

    |

  3. If f(x)=(x)/(x^(2)+1) is increasing function, then the value of x lies...

    Text Solution

    |

  4. The function f(x)=log(1+x)(2x)/(2+x) is increasing on

    Text Solution

    |

  5. The function f defined by f(x)=(x+2)e^(-x) is

    Text Solution

    |

  6. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  7. The function f(x)=(ln(pi+x))/(ln(e+x)) is increasing in (0,oo) decrea...

    Text Solution

    |

  8. If f(x)=x^3-10 x^2+200 x-10, then f(x) is

    Text Solution

    |

  9. If f(x)=x^(3/2)(3x-10),xgeq0, then f(x) is increasing in .

    Text Solution

    |

  10. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  11. Let f(x) = log (sin x+ cos x), x in x (-pi/4,(3pi)/(4)) . Then f is st...

    Text Solution

    |

  12. Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (-oo,...

    Text Solution

    |

  13. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  14. If f(x)=sinx-cosx, the function decreasing in 0 le x le 2pi is

    Text Solution

    |

  15. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real x. Then,

    Text Solution

    |

  16. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  17. y=x(x-3)^2 increases for all values of x lying in the interval

    Text Solution

    |

  18. The minimum value of f(a)=(2a^2-3)+3(3-a)+4 is

    Text Solution

    |

  19. The value of a for which the function f(x)=asinx+(1/3)sin3x has an ext...

    Text Solution

    |

  20. The function x^(5)-5x^(4)+ 5x^(3) -10 has a maxima, when x=

    Text Solution

    |