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

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2017

    MODERN PUBLICATION|Exercise EXERCISE|46 Videos

  • SAMPLE PAPER 2019

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that "tan"^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))=pi/(4)+1/(2)"cos"^(-1)x^(2) .

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

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

Differentiate (x sin^(-1) x)/(sqrt (1 + x^2))

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

MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
  1. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

    Text Solution

    |

  2. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

    Text Solution

    |

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

    Text Solution

    |

  4. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  5. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

    Text Solution

    |

  6. Evaluate int (dx)/((x+1)sqrt(1-x^2))

    Text Solution

    |

  7. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

    Text Solution

    |

  8. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  9. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  10. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

    Text Solution

    |

  11. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |

  12. Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + ...

    Text Solution

    |

  13. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  14. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  15. Two vectors vec A and vec B are inclined to each other at an angle the...

    Text Solution

    |

  16. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |

  17. In a triangle ABC "if" m/A =90^@, "prove that "tan"^(-1) b/(a+b) +"ta...

    Text Solution

    |

  18. Solve the following LPP graphically : Maximize Z=3x(1) +2x(2) subj...

    Text Solution

    |

  19. Solve the following system of equations by the matrix inversion method...

    Text Solution

    |

  20. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |