Home
Class 12
MATHS
Find the derivative of sec^(-1)((1)/(2x^...

Find the derivative of `sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))" at "x-(1)/(2).`

A

`-4`

B

4

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Section -B|35 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Section - C ( More than one options are correct )|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Try youself|16 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of sec^(-1)(1/(2x^2-1))wdotrdott sqrt(1-x^2) at x=1/2

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=1 , is

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=0 , is

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

The derivative of sin^(-1)((x)/(sqrt(1+x^(2)))) w.r.t .x is

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

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

The derivative of tan^(-1)((x)/(sqrt(1-x^(2)))) w. r.t is

The differential cofficient of sec^(- 1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) is-

The derivative of tan^(-1)((3x-x^(3))/(1-3x^(2))) w.r.t.x is

AAKASH INSTITUTE ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 ...

    Text Solution

    |

  2. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  3. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |

  4. If t(1+x^(2))=x and x^(2)+t^(2)=y then at x = 2, the value of (dy)/(dx...

    Text Solution

    |

  5. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  6. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal t...

    Text Solution

    |

  7. Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...

    Text Solution

    |

  8. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

    Text Solution

    |

  9. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  10. If y = tan^(-1)( sqrt((x+1)/(x-1))) " for " |x| gt 1 " then " (dy)/(d...

    Text Solution

    |

  11. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |

  12. If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx) at x = 1 is

    Text Solution

    |

  13. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

    Text Solution

    |

  14. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

    Text Solution

    |

  15. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

    Text Solution

    |

  16. The value of C ( if exists ) in Lagrange's theorem for the function |x...

    Text Solution

    |

  17. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

    Text Solution

    |

  18. If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

    Text Solution

    |

  19. f(x)=sqrt(1-sqrt(1-x^2) then at x=0 ,value of f(x) is

    Text Solution

    |

  20. Domain of differentiations of the function f(x) = |x -2| cos x is

    Text Solution

    |