Home
Class 12
MATHS
If y=sin ^(-1) (xcos a+ sqrt( 1-x^(2))s...

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

A

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

B

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

C

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

D

` (-2)/(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

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

If y= sin ^(-1) ((x)/(1+ sqrt(1- x ^(2)))), |x|le 1, then (dy)/(dx) at ((1)/(2)) is:

If y= sin sqrt ( sin sqrt x) ,then (dy)/( dx) =

y = sin^(-1) {(sqrt(1 +x) + sqrt(1 -x))/(2)} " then " (dy)/(dx) = ?

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

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

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

If y= sin ^(-1) ((cos x +sin x)/( sqrt2)) ,then (dy)/(dx)=

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)] , then the value of f'(e) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If y=cos ^(-1) ((a^(-x) -a^(x))/(a^(-x) +a^(x))) ,then (dy)/(dx) =

    Text Solution

    |

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

    Text Solution

    |

  19. If y =cos ^(-1)(xsin alpha -cos alpha sqrt(1-x^(2))),then (dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |