Home
Class 12
MATHS
Differentiate sin^(-1)((2x)/(1+x^2))+cos...

Differentiate `sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2))` with respect to `x ,if` `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

Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with respect to x ,if x in (0,1)

Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with respect to x , if x in (1,\ oo)

Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with respect to x .

Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with respect to x , if x in (0,\ 1) .

Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with respect to x , if x in (-oo,\ -1)

Differentiate sin^(-1)(2xsqrt(1-x^2)),

Differentiate cos^(-1)((1-x^2)/(1+x^2)) .

Differentiate sin^(-1)((1-x^2)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),\ \ x in R with respect to x

Differentiate tan^(-1)((2x)/(1-x^(2))) w.r.t. sin^(-1)((2x)/(1+x^(2))).

Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)),

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot

    Text Solution

    |

  2. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

    Text Solution

    |

  3. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

    Text Solution

    |

  4. Differentiate the functions with respect to x : tan^(-1){(sqrt(1+a^2x...

    Text Solution

    |

  5. Differentiate the functions with respect to x : cos^(-1){(cosx+sinx...

    Text Solution

    |

  6. If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0, prove t...

    Text Solution

    |

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

    Text Solution

    |

  8. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y) .

    Text Solution

    |

  9. If y = cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), -1/2ltxlt0 , find (dy)/(dx...

    Text Solution

    |

  10. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

    Text Solution

    |

  11. If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a , prove that (dy)/(dx)=y/xd...

    Text Solution

    |

  12. Differentiate cos^(-1)(2x^2-1) with respect to x , if 0<x<1 (ii) -1<x...

    Text Solution

    |

  13. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if -1/(sqrt(3))<x<1/(sqrt(...

    Text Solution

    |

  14. Differentiate each of the following functions with respect to x : (...

    Text Solution

    |

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

    Text Solution

    |

  16. Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(...

    Text Solution

    |

  17. Differentiate sin^(-1)(3x-4x^3) with respect to x , if (i)-1/2ltxlt...

    Text Solution

    |

  18. Differentiate cos^(-1)(2x^2-1) with respect to x , if 0<x<1 (ii) -1<x...

    Text Solution

    |

  19. If y=cos^(-1){xsqrt(1-x)+sqrt(x)sqrt(1-x^2)} and 0<x<1, find (dy)/(dx...

    Text Solution

    |

  20. If y=sqrt(a^2-x^2) , prove that y(dy)/(dx)+x=0

    Text Solution

    |