Home
Class 12
MATHS
The function f(x)= tan x - x...

The function `f(x)= tan x - x`

A

Always increases

B

Always decreases

C

Never decreases

D

Sometimes increases and sometimes decreases

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

Find the maximum and minimum values of the function f(x)=tan x-2x

Find the sum of an infinite geometric series whose first term is the limit of the function f(x)=(tan x-sin x)/(sin^(3)x) as x rarr0 and whose common ratio is the limit of the function g(x)=(1-sqrt(x))/((cos^(-1)x)^(2)) as x->1

Find the period of the function f(x) = tan (3x + 5) .

The function f(x)= tan^(-1)x +x increases in the interval

The function f(x) = tan ^(-1)x -x decreases in the interval

show that the function f(x)=tan x-4x is a strictly decreasing function on (-(pi)/(3),(pi)/(3))

Prove that the function f(x)=tan x-4x is strictly decreasing on (-pi/3,pi/3)

Test the function f(x)=tan x +cot" x, where "0 lt x lt pi/2 , for increase and decrease.

The number of values of x in (0,2 pi) where the function f(x)=(tan x+cot x)/(2)-|(tan x-cot x)/(2)| continuous but non-derivable:

The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ^(-1) ( 2-x) is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The function f(x)=ax+b is strictly increasing for all real x is

    Text Solution

    |

  2. For Which value of x, the function f(x)=x^2-2x is decresing?

    Text Solution

    |

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

    Text Solution

    |

  4. f(x)={(0,x≤0),(x-3,xgt0):} The function f(x) is

    Text Solution

    |

  5. The function f(x)=cos x -2 px is monotonically decreasing for

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |