Home
Class 12
MATHS
f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f...

`f(x) = Cot^(-1)((x^x-x^(-x))/(2))` then `f^(1)(1)=`

A

`- log2`

B

`log2`

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

  • AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|77 Videos

Similar Questions

Explore conceptually related problems

The domain of f(x)=Cot^(-1)((x)/(sqrt(x^(2)-[x^(2)]))) is

The range of f(x)=cot^(-1)(2x-x^(2)) is

If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)(x) .

If f (x) = f ^(1) (x) + f ^(11) (x) + f ^(111) (x) +........oo then find (f ^(1) (x))/(f (x)).

f(x) = (2x - sin^(-1))/(2x + tan^(-1) (x)) is continuous at x = 0 then f(0) =

If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=

f(x)=2x+cot^(-1)x+log (sqrt(1+x^(2))-x)

Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET SOLVED PAPER 2019-MATHEMATICS
  1. The lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1...

    Text Solution

    |

  2. lim(xrarr 0 ) (x^(2) (tan2x - 2 tan x )^(2))/((1-cos 2 x )^(4)) =

    Text Solution

    |

  3. lim(x rarr infty ) ( (6x^(2) - cos 3 x ) /(x^(2) + 5 ) - (5x^(3) + 3)/...

    Text Solution

    |

  4. The number of discontinuities in R for the function f(x) = (x-1) / (...

    Text Solution

    |

  5. d /dx (log ( sqrt(x+ sqrt( x^(2) + a^(2) ))))=

    Text Solution

    |

  6. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  7. If a. ne 0 , x = a (t + sin t) and y = a (1- cos t) then (d^(2) y) /d...

    Text Solution

    |

  8. The number of tangent to the curve y^(2) (x-a) = x^(2) (x+ a ) (agt 0)...

    Text Solution

    |

  9. If f(x) = (2k + 1) x- 3 - ke^(-x) + 2e^(x) is monotonically increasin...

    Text Solution

    |

  10. if the function f (x) = ax^(3) + bx^(2) + 11 x - 6 satisfies the cond...

    Text Solution

    |

  11. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

    Text Solution

    |

  12. If int cos xcdot cos 2 x cdot cos 5 x dx = A sin 2 x + B sin 4 x +...

    Text Solution

    |

  13. If int e^(x) ((x+2)/(x+4))^(2) dx = f(x) arbitrary constant, then f(x...

    Text Solution

    |

  14. Evalute the following integrals int (dx)/(sin x + sin 2x )

    Text Solution

    |

  15. In I(n) = int (sin nx)/(sin x) dx " for " n = 1, 2, 3,....," then "I(6...

    Text Solution

    |

  16. If lim(n rarr infty ) [(1+ 1/x^(2))(1+ 2^(2)/n^(2))...(1+n^(2)/n^(2))]...

    Text Solution

    |

  17. int (0)^(pi//2) (sin^(3) x cos x dx ) /(sin^(4) x + cos^(4) x )=

    Text Solution

    |

  18. The curve y = ax^(2) + bx passes through the point (1,2) and lies abov...

    Text Solution

    |

  19. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  20. The solution of the equation dy/dx= 2y tan x = sin x satisfying y = 0...

    Text Solution

    |