Home
Class 12
MATHS
The function f(x)=cot^(-1)x +x increase...

The function `f(x)=cot^(-1)x +x` increases in the interval :

A

`(1, oo)`

B

`(-1, oo)`

C

`(-oo, oo)`

D

`(0, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

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

The function f(x) = (x)/(3) + (3)/(x) decreases in the interval

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

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

The function f(x) = |x| + |x-1| is

Verify Rolle's theorem for the function f(x)=x^(2)-4x-3 , in the interval [1,4].

The function f(x) = cot x discontinuous on the set

Let f(x)=[e^(x) (x-1)(x-2)] . Then f decrease in the interval :

The function f(x)=(x)/(|1+|x|) is :

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. A circular sector of perimeter 60 metre with maximum area is to be con...

    Text Solution

    |

  2. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  3. The function f(x)=cot^(-1)x +x increases in the interval :

    Text Solution

    |

  4. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  5. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  6. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  7. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

    Text Solution

    |

  8. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  9. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  10. Let x and y be two variables such that x gt 0 and xy =1. Then the mini...

    Text Solution

    |

  11. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Consider the following statements S and R S : Both sin x and cos x ar...

    Text Solution

    |

  15. Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) ...

    Text Solution

    |

  16. The length of the largest interval, in which the function 3 sin x - 4 ...

    Text Solution

    |

  17. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  18. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  19. The minimum 2x^(3) - 3x^(2)-12x+8 occurs at x =

    Text Solution

    |

  20. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |