Home
Class 12
MATHS
Differentiate tan^(-1) ((1+sinx)/(1-sinx...

Differentiate `tan^(-1) ((1+sinx)/(1-sinx))^(1/2)` w.r.t. `log((1+cosx)/(1-cosx))`.

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES

    MODERN PUBLICATION|Exercise PROBLEM|2 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise PROBLEM|44 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1)((1+sinx)/(1-sinx))^(1/2) with respect to ((1+cosx)/(1-cosx)) .

Differentiate tan^(-1) e^(2x)

Differentiate e^(tan^(-1) x^2)

Differentiate tan^-1((2x)/(1-x^2)) .

Differentiate tan^(-1) frac cos x( 1+ sin x)

Differentiate tan^(-1) frac x(1+sqrt(1-x^2))

Differentiate tan^(-1) frac (7x)(1-12x^2)

Defferentiate tan^(-1) ((sin x)/(1+cosx)) w.r.t. tan^(-1)((cos x)/(1+sinx))

Differentiate tan^(-1)((xsinalpha)/(1-xcosalpha))

Differentiate tan^(-1)((sqrtx-x)/(1+xsqrt(x))) .

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
  1. Prove that e^x-2=0 has a solution between 0 and 1.

    Text Solution

    |

  2. So that x^5+x+1=0 for some value of x between -1 and 0.

    Text Solution

    |

  3. Examine continuity and differentiability f(x)={[(1-e^(-x))/x,x!=0],[1,...

    Text Solution

    |

  4. If x=2costheta-cos2theta , y= 2sintheta-sin2theta then find d^(2)y/dx^...

    Text Solution

    |

  5. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

    Text Solution

    |

  6. Find dy/dx for the following . y=log(2)sqrtsinphi(x).

    Text Solution

    |

  7. Find dy/dx if (x/a)^(2/3) + (y/b)^(2/3) = 1

    Text Solution

    |

  8. Find dy/dx if y = x cot^(-1) (x/y)

    Text Solution

    |

  9. Find dy/dx if (cosx)^(y)=(siny)^(x)

    Text Solution

    |

  10. Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).

    Text Solution

    |

  11. Find dy/dx if e^(3x)In(sin2x)+e^sqrtcosx.

    Text Solution

    |

  12. Differentiate tan^(-1) ((1+sinx)/(1-sinx))^(1/2) w.r.t. log((1+cosx)/(...

    Text Solution

    |

  13. Find dy/dx y=tan^(-1)(xsinalpha-xcosalpha)

    Text Solution

    |

  14. Find dy/dx y = cos^(-1)(1-1/x-1/x^(2))^(1/2)

    Text Solution

    |

  15. Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t

    Text Solution

    |

  16. If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...

    Text Solution

    |

  17. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

    Text Solution

    |

  18. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

    Text Solution

    |

  19. If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x...

    Text Solution

    |

  20. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |