Home
Class 12
MATHS
If y=sin ^(-1) (2x^(2) -1) ,then (dy)/(...

If ` y=sin ^(-1) (2x^(2) -1) ,then (dy)/(dx)=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

y=sin ^(-1) (1-2x ^(2)),then (dy)/(dx)=

If y=sin ^(-1)sqrt (1-x^(2)),then (dy)/(dx)=

If y=sin^(-1) (2 cos^(2)x-1),"then " dy/dx=

If y=sin^(-1)((2x)/(1+x^(2))) then (dy)/(dx) at x=-2 is

If y=sin ^(-1)(2x sqrt (1-x^(2))),then (dy)/(dx)=

If y=sin^(-1)(x^(2)-1)"then "dy/dx=

If y=cos^(-1) (sin x^(2)),"then " (dy)/(dx)=

If y=sin(2 sin^(-1)x) , then (dy)/(dx) =

If y=sin^(-1)(x/2)+cos^(-1)(x/2) then (dy)/(dx)=

If y=sin^(-1)(2^(x)),"then "dy/dx=

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If y=sin ^(-1)(2x sqrt (1-x^(2))),then (dy)/(dx)=

    Text Solution

    |

  2. y=sin ^(-1) (1-2x ^(2)),then (dy)/(dx)=

    Text Solution

    |

  3. If y=sin ^(-1) (2x^(2) -1) ,then (dy)/(dx)=

    Text Solution

    |

  4. If y=sin ^(-1) (4x^(3) -3x) ,then ( dy)/(dx) =

    Text Solution

    |

  5. If y = sin^(-1) (3x -4x^(3)) " then " (dy)/(dx) = ?

    Text Solution

    |

  6. If y = sin^(-1) ((2x)/(1 + x^(2))), "then" (dy)/(dx) is equal to

    Text Solution

    |

  7. If y=sin ^(-1) ((2^(x+1))/( 1+4^(x))),then (dy)/(dx) =

    Text Solution

    |

  8. sin^-1((1-25x^2)/(1+25x^2)) differentiate

    Text Solution

    |

  9. If y =sin ^(-1) sqrt((1+x^(2))/( 2) ),then (dy)/(dx) =

    Text Solution

    |

  10. If y=sin ^(-1)((x)/( sqrt(x^(2) +a^(2)))) ,then (dy)/(dx)=

    Text Solution

    |

  11. If y=sin ^(-1) (xcos a+ sqrt( 1-x^(2))sin alpha ) ,then (dy)/(dx) =

    Text Solution

    |

  12. If y=sin ^(-1) (xsqrt( 1-x) +sqrt(x) sqrt (1-x^(2))),then (dy)/(dx)=

    Text Solution

    |

  13. यदि y= sin ^(-1) {(5x+ 12sqrt (1-x^(2)))/(13)} तब (dy)/(dx) का मान ज...

    Text Solution

    |

  14. if y=sin^-1 ((sqrt(1+x)+sqrt(1-x))/2) then (dy)/(dx)

    Text Solution

    |

  15. If y=sin ^(-1) ((3x +4 sqrt(1-x^(2)))/( 5)),then (dy)/(dx)=

    Text Solution

    |

  16. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...

    Text Solution

    |

  17. If y=sin[2tan^(-1){sqrt((1-x)/(1+x))}],fin d(dy)/(dx)

    Text Solution

    |

  18. If y=sin^2(cot^(- 1)sqrt((1+x)/(1-x))) then(dy)/(dx) is

    Text Solution

    |

  19. If y= cos ^(-1)sqrt (1-x) ,then (dy)/(dx) =

    Text Solution

    |

  20. If y=cos ^(-1) ((log x^(2))/( 1+(log x)^(2))) ,then (dy)/(dx)=

    Text Solution

    |