Home
Class 12
MATHS
The function f(x)=x^2+2x+5 is strictly i...

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

A

`(-1,infty)`

B

`(-infty,-1)`

C

`[-1,infty)`

D

`(-infty,-1]`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Show that the function f(x)= x^(2) is strictly increasing function in the interval ]0,infty[ .

If the function f(x)=2x^(2)-kx+5 is strictly increasing in [1,2] ,then k' lies in the interval

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

The interval in which the function f(x)=x^(2)-3x+36 is strictly increasing, is :

Prove that the function f(x)=2x^(3)-21x^(2)+36x-40 is strictly increasing in the interval (-oo, 1) .

f(x)=x^(2) is strictly deceasing in interval

Show that the function f(x)=x^(2) is neither strictly increasing nor strictly decreasing on R

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The function f(x)=cos x -2 px is monotonically decreasing for

    Text Solution

    |

  2. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

    Text Solution

    |

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

    Text Solution

    |

  4. The function f(x)=x^3-3x^2-24x+5 is an increasing function in the inte...

    Text Solution

    |

  5. For which interval the given function f(x)=2x^3-9x^2+12x+1 is decreasi...

    Text Solution

    |

  6. Where does f(x)=x+sqrt(1-x),0ltxlt1 decrease?

    Text Solution

    |

  7. The function f(x)=sin^4x +cos ^4 x increases if

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |