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

The function `f(x)=cot^(-1)x+x` increases in the interval (a) `(1,\ oo)` (b) `(-1,\ oo)` (c) `(-oo,\ oo)` (d) `(0,\ oo)`

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

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=2x^(2)-kx+5 is increasing on [1,2], then k lies in the interval (a) (-oo,4)(b)(4,oo)(c)(-oo,8)(d)(8,oo)

The function sin x-bx+c will be increasing in the interval (-oo,oo) ,if

Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (a)(-oo,-2) (b) -2,-1) (c)(1,2) (d) (2,+oo)

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then (a) k in(2,oo)(b)k in(-oo,2)(c)k in(4,oo)(d)k in(-oo,4)

f(x) = x^2 increases on: (a) ( 0,oo) (b) (-oo,0) (c) (-7,-3) (d) (-oo,-3)

The function f(x)=log x-(2x)/(x+2) is increasing for all A) x in(-oo,0) , B) x in(-oo,1) C) x in(-1,oo) D) x in(0,oo)

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

The function f(x)=x^(9)+3x^(7)+64 is increasing on (a) R(b)(-oo,0)(c)(0,oo) (d) R_(0)

[" The maximum value of function "(x)=(|x|-2-x^(2))/(|x|+1)" lies in the interval "],[[" (a) "0(-oo,0)," (B) "0(0,oo)],[" (c) "g(1,4)," (D) "0(-3,4)]]

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  2. If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value ...

    Text Solution

    |

  3. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  4. If f(x) = cos x, then

    Text Solution

    |

  5. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

    Text Solution

    |

  6. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

    Text Solution

    |

  7. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  8. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

    Text Solution

    |

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

    Text Solution

    |

  10. The function f(x)= tan x - x

    Text Solution

    |

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

    Text Solution

    |

  12. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

    Text Solution

    |

  13. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  14. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  15. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

    Text Solution

    |

  16. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

    Text Solution

    |

  17. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  18. Find the maximum and minimum values of f , if any, of the function gi...

    Text Solution

    |

  19. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

    Text Solution

    |

  20. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

    Text Solution

    |