Home
Class 12
MATHS
If y=sin^(-1)x+sin^(-1)sqrt(1-x^2) , fin...

If `y=sin^(-1)x+sin^(-1)sqrt(1-x^2)` , find `(dy)/(dx)` in each of the following cases: (i) `x in (0,\ 1)` (ii) `x in (-1,\ 0)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If y=sin^(-1){(5x+12 sqrt(1-x^(2)))/(13)}, find (dy)/(dx).

If y=(sinx)^x+sin^(-1)sqrt(x) then find dy/dx .

If y=sin^(-1)x+cos^(-1)x ,\ find (dy)/(dx) .

If y=sin^(-1)(sqrt(1-x^2]) and 0 < x < 1, then find (dy)/(dx)

if y=sin^(-1)((5x+12sqrt(1-x^(2)))/(13)) then find (dy)/(dx)

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

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) ,x is [-1/2,0] , find (dy)/(dx)

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

    Text Solution

    |

  2. Evaluateint(x+e^x)\dx

    Text Solution

    |

  3. If y=sin^(-1)x+sin^(-1)sqrt(1-x^2) , find (dy)/(dx) in each of the fol...

    Text Solution

    |

  4. Differentiate cos^(-1){2xsqrt(1-x^2)},1/(sqrt(2))

    Text Solution

    |

  5. Differentiate ytanx=tany with respect to x

    Text Solution

    |

  6. Differentiate sinxsiny=x with respect to x

    Text Solution

    |

  7. Differentiate sin^(-1){sqrt(1-x^2)},\ 0<x<1 with respect to x

    Text Solution

    |

  8. Differentiate sin2x = sin2y with respect to x

    Text Solution

    |

  9. Differentiate sin^(-1){x/(sqrt(x^2+a^2))} with respect to x

    Text Solution

    |

  10. Differentiate sin(logx) with respect to x

    Text Solution

    |

  11. Differentiate sinxcosy= logy with respect to x

    Text Solution

    |

  12. Differentiate cos^(-1){x/(sqrt(x^2+a^2))} with respect to x

    Text Solution

    |

  13. Differentiate sin^(-1){(sinx+cosx)/(sqrt(2))},\ -(3pi)/4<x<pi/4 with r...

    Text Solution

    |

  14. Differentiate cos^(-1){(cosx+sinx)/(sqrt(2))},\ -pi/4<x<pi/4 with resp...

    Text Solution

    |

  15. Differentiate tan^(-1){x/(1+sqrt(1-x^2))},\ -1<x<1 with respect to x

    Text Solution

    |

  16. Differentiate tan^(-1){x/(a+sqrt(a^2-x^2))},\ -a<x<a with respect to x

    Text Solution

    |

  17. Differentiate the following function with respect to x : sin^(-1){(...

    Text Solution

    |

  18. Differentiate cos^(-1){2xsqrt(1-x^2)},\ \ 1/(sqrt(2))<x<1 with respect...

    Text Solution

    |

  19. Differentiate tan^(-1){(4x)/(1-4x^2)},\ -1/2<x<1/2 with respect to x

    Text Solution

    |

  20. Differentiate tan^(-1){(2^(x+1))/(1-4^x)} , -oo < x < 0 with respect ...

    Text Solution

    |