Home
Class 12
MATHS
y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sq...

`y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))` then `dy/dx`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

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

y=tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))), where -1

If y=tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))] for 0<|x|<1 ,find (dy)/(dx)

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

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

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

If y=tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))), find (dy)/(dx)

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

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx) of y=tan^(-1)(x/(1+sqrt(1-x^2)))

    Text Solution

    |

  2. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

    Text Solution

    |

  3. y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy...

    Text Solution

    |

  4. Find (dy)/(dx) of y=(sinx)^x+sin^(-1)sqrt(x) .

    Text Solution

    |

  5. Find (dy)/(dx) in the following: y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(...

    Text Solution

    |

  6. Find the derivative of y=cos^(-1)((1-x^2)/(1+x^2)) , 0<x<1

    Text Solution

    |

  7. Find the derivative of y=sin^(-1)(2xsqrt(1-x^2))

    Text Solution

    |

  8. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

    Text Solution

    |

  9. Find the derivative of cos^(-1)(sinx) w.r.t. to x

    Text Solution

    |

  10. Find the derivative of tan^(-1)((sinx)/(1+cosx)) w.r.t. to x

    Text Solution

    |

  11. Find the derivative of sin^(-1)((2^(x+1))/(1+4^x))

    Text Solution

    |

  12. Find (dy)/(dx) if x=a(theta-sintheta) and y=a(1-costheta) .

    Text Solution

    |

  13. If x=asec^3theta and y=atan^3theta , find (dy)/(dx) at theta=pi/3

    Text Solution

    |

  14. Find (dy)/(dx) if x=a(cost+tsint) and y=a(sint-tcost)

    Text Solution

    |

  15. Find (dy)/(dx) if x=(3a t)/(1+t^3) ; y=(3a t^2)/(1+t^3)

    Text Solution

    |

  16. Find (dy)/(dx) if =asec^2theta ; y=atan^3theta .

    Text Solution

    |

  17. Find (dy)/(dx) if x=asqrt(cos2t) cost and y=asqrt(cos2t) sint then, fi...

    Text Solution

    |

  18. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  19. find dy/dx if x=a cos 3 t ,   y=a sin 3 t

    Text Solution

    |

  20. Differentiate logsinx w.r.t. sqrt(cosx)

    Text Solution

    |