Home
Class 12
MATHS
Derivative of tan^(-1)x w.r. to cot^(-1)...

Derivative of `tan^(-1)x` w.r. to `cot^(-1)x` is ……. Where `x in R`

A

`-1`

B

1

C

`(1)/(1 + x^(2))`

D

`-(1)/(1 + x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Derivative of x^(2) w.r.t x^(3) is……

The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

(d)/(dx ) (tan^(-1)x + cot^(-1) x) = ……

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t tan^(-1)x , where x ne 0

(d)/(dx ) ( e^( tan^(-1) x+ cot^(-1) x)) =……. : (x in R)

Find the derivative of tan^(-1) [(sqrt(1+x^(2))-1)/(x)] with respect to tan^(-1) ((2x)/(1-x^(2)))

Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

If 3tan^(-1)x+cot^(-1)x=pi , then x equals to ______

If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5 pi^2) /8 find x.

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. If x= a t^(2), y= 2 a t" then " (dy)/(dx) = …., where t ne 0

    Text Solution

    |

  2. (d)/(dx) (log(5) x^(2))= ……..

    Text Solution

    |

  3. Derivative of tan^(-1)x w.r. to cot^(-1)x is ……. Where x in R

    Text Solution

    |

  4. If y= log (x + sqrt(x^(2) + a^(2))) then (dy)/(dx)= ………

    Text Solution

    |

  5. If y= log(10) sin x then (dy)/(dx) = ……..

    Text Solution

    |

  6. y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx)=………

    Text Solution

    |

  7. f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 and f(x) = a "sgn" (x+1) cos (2x-2...

    Text Solution

    |

  8. The value of f(0), so that f(x)= (sqrt(a^(2)-ax + x^(2))-sqrt(a^(2) + ...

    Text Solution

    |

  9. f(x+ y) = f(x) f(y), For AA x and y. If f(3)= 3 and f'(0) =11 then f'(...

    Text Solution

    |

  10. f(x)= [x] + sqrt(x -[x]), where [.] is a greatest integer function the...

    Text Solution

    |

  11. The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) t...

    Text Solution

    |

  12. y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function

    Text Solution

    |

  13. f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

    Text Solution

    |

  14. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

    Text Solution

    |

  15. If x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2))...

    Text Solution

    |

  16. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

    Text Solution

    |

  17. f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x). ...

    Text Solution

    |

  18. y= sin x- cos x and f(x)= (d^(17)y)/(dx^(17)) " then " f((pi)/(4))= ……...

    Text Solution

    |

  19. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

    Text Solution

    |

  20. u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(d...

    Text Solution

    |