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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=2x^2-k x+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 set of points where the function f(x)=x|x| is differentiable is (a) (-oo,\ oo) (b) (-oo,\ 0)uu(0,\ oo) (c) (0,\ oo) (d) [0,\ oo]

If the function f(x)=x^2-k x+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)

The function f(x)=x^9+3x^7+64 is increasing on (a) R (b) (-oo,\ 0) (c) (0,\ oo) (d) R_0

The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a) (0,\ oo) (b) (-oo,\ 0) (c) (1,\ oo) (d) (-oo,\ 1)

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 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 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 )

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

f(x)=ln(lnx) (x>1) is increasing in a) (0,1) b) (1, oo) c) (0,2) d) (-oo, 1)

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

    Text Solution

    |

  2. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

    Text Solution

    |

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

    Text Solution

    |

  4. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |

  5. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

    Text Solution

    |

  6. If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies...

    Text Solution

    |

  7. If f(x)=x^3+a x^2+b x+5sin^2x\ is a strictly increasing function ...

    Text Solution

    |

  8. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

    Text Solution

    |

  9. If the function f(x)=2tanx+(2a+1)(log)e|secx|+(a-2)x is increasing on ...

    Text Solution

    |

  10. Find the derivative of the function f(x)=tan^(-1)(g(x)) with respect t...

    Text Solution

    |

  11. Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>...

    Text Solution

    |

  12. The function f(x)=x^2\ e^(-x) find the derivative with respect to x

    Text Solution

    |

  13. Function f(x)=cosx-2\ lambda\ x is monotonic decreasing when (a) lambd...

    Text Solution

    |

  14. In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) monotonic...

    Text Solution

    |

  15. Function f(x)=x^3-27 x+5 is monotonically increasing when (a) x<-3 (b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. f(x)=2x-tan^(-1)x-log{x+sqrt(x^2+1)} is monotonically increasing when ...

    Text Solution

    |

  19. Function f(x)=|x|-|x-1| is monotonically increasing when (a) x<0 (b) ...

    Text Solution

    |

  20. Every invertible function is (a) monotonic function          (b) co...

    Text Solution

    |