Home
Class 12
MATHS
If y = sin^(-1) ((2x)/(1 + x^(2))), "the...

If `y = sin^(-1) ((2x)/(1 + x^(2))), "then" (dy)/(dx) ` is equal to

A

`(-2)/(1+x^(2))` for all x

B

`(2)/(1+x^(2))` for all `|x| lt 1`

C

`(2)/(1+x^(2))` for all `|x| gt 1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 72

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If y=sin^(-1)((2x)/(1+x^(2))) then (dy)/(dx) at x=-2 is

If y=sin^(-1)((4x)/(1+4x^(2))) , then what is (dy)/(dx) equal to?

If y=sin^(-1)((4x)/(1+4x^(2))) then what is (dy)/(dx) equal to ?

If y = log ((cos x)/(1 - sin x)), "then " (dy)/(dx) is equal to

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

If sin (xy) + (x)/(y) =x^(2) - y , " then " (dy)/(dx) is equal to

If y = cos^(-1) ((2x)/(1 + x^(2))), - 1 lt x lt 1 " then " (dy)/(dx) is equal to

NTA MOCK TESTS-NTA JEE MOCK TEST 71-MATHEMATICS
  1. The number of real solutions the equation sqrt(x+14-8sqrt(x-2))+sqrt(x...

    Text Solution

    |

  2. If the numbers 3^(2a-1), 14, 3^(4-2a) (0 lt a lt 1) are the first thre...

    Text Solution

    |

  3. If y = sin^(-1) ((2x)/(1 + x^(2))), "then" (dy)/(dx) is equal to

    Text Solution

    |

  4. The domain of the function f(x)=log(3)[1-log(6)(x^(2)-7x+16)] is

    Text Solution

    |

  5. The value of lim(xrarr-oo)(x^(2)tan((2)/(x)))/(sqrt(16x^(2)-x+1)) is e...

    Text Solution

    |

  6. The compound statement (prarr ~q)vv(p^^q) is logically equivalent to

    Text Solution

    |

  7. The angular elevation of tower CD at a point A due south of it is 60^(...

    Text Solution

    |

  8. If x=sin(2tan^(-1)2sqrt3)and y=sin((1)/(2)tan^(-1).(12)/(5)), then

    Text Solution

    |

  9. The points on the curve f(x)=(x)/(1-x^(2)), where the tangent to it ha...

    Text Solution

    |

  10. Which of the following statements is correct?

    Text Solution

    |

  11. The area (in sq. units) bounded between the curves y=e^(x)cos x and y=...

    Text Solution

    |

  12. The curve passing through P(2, (7)/(2)) and having place 1-(1)/(x^(2))...

    Text Solution

    |

  13. A bag contains 2 red, 3 white and 5 black balls, a ball is drawn its c...

    Text Solution

    |

  14. If a, b, c are non - zero real numbers, the system of equations y+z=...

    Text Solution

    |

  15. Let A be a matrix of order 3 such that A^(2)=3A-2I where, I is an iden...

    Text Solution

    |

  16. A line L lies in the plane 2x-y-z=4 such that it is perpendicular to t...

    Text Solution

    |

  17. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

    Text Solution

    |

  18. ABC is a right triangle, right - angled at the vertex A. A circle is d...

    Text Solution

    |

  19. If e(1) and e(2) are the eccentricities of the ellipse (x^(2))/(18)+(y...

    Text Solution

    |

  20. Two points P and Q in the argand plane represent the complex numbers z...

    Text Solution

    |