Home
Class 12
MATHS
If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-...

If `y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))` then find `dy/dx`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - B|36 Videos
  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos
  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

int(x^(2))/(sqrt(1+x^(2))(1+sqrt(1+x^(2))))dx

If (sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))=3 then x=

tan^(-1)(x+sqrt(1+x^(2)))=

int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=

Find Lt_(xto0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

int_(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x+x^(2)))dx=

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. Find the angle between the lines, whose direction cosines are given by...

    Text Solution

    |

  2. If a line makes angles alpha, beta, lambda,delta with the four diagon...

    Text Solution

    |

  3. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

    Text Solution

    |

  4. Find the derivative of (sinx)^(log x)+x^(sinx).

    Text Solution

    |

  5. Find the derivative of x^(tanx)+(sinx)^(cosx) w.r.to x.

    Text Solution

    |

  6. if siny=xsin(a+y) then show that dy/dx=sin^(2)(a+y)/(sina).

    Text Solution

    |

  7. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

    Text Solution

    |

  8. If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...

    Text Solution

    |

  9. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

    Text Solution

    |

  10. If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...

    Text Solution

    |

  11. IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) inte...

    Text Solution

    |

  12. Find the angle between the curves xy=2 and x^(2)+4y=0

    Text Solution

    |

  13. The sum of the intercepts on the coordinate axes of any tangent to sqr...

    Text Solution

    |

  14. Show that the tangent at P(x(1),y(1)) on the curve sqrt(x)+sqrt(y)=sqr...

    Text Solution

    |

  15. Find the maximum area of the rectangle that can be formed with fixed p...

    Text Solution

    |

  16. From a rectangular sheet of dimensions 30cm times 80cm, four squares o...

    Text Solution

    |

  17. A wire of length l is cut into two parts which are bent respectively i...

    Text Solution

    |

  18. A window is in the shape of a rectangle surmounted by a semi-circle. I...

    Text Solution

    |

  19. Show that when the curved surface of a is right circular cylinder insc...

    Text Solution

    |

  20. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

    Text Solution

    |