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

If `y=sin^(-1)((1-x^2)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2))` , find `(dy)/(dx)` .

A

`x/(x^(4)-1)`

B

`(x^(2))/(x^(4)-1)`

C

`0`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

If y= sin^(-1)((2x)/(1+x^2)) + sec^(-1)((1+x^2)/(1-x^2)) , prove that (dy)/(dx)=4/(1+x^2) .

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

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

y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)) . find dy/dx .

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

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

y=x^(2)+(1)/(x^(2)) . Find (dy)/(dx)

If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),0ltxlt1, prove that (dy)/ (dx)="4/(1+x^2)

If cos^-1((x)/sqrt(1+x^2)) then find dy/dx

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. If x=sin theta and y=cos^(3) then 2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2)...

    Text Solution

    |

  2. If u=3x^(12) and v=x^(6) then (du)/(dv) is

    Text Solution

    |

  3. If x=e^(-t^(2)), y=tan^(-1)(2t+1), then (dy)/(dx)=

    Text Solution

    |

  4. If x^y y^x=1 , prove that (dy)/(dx)=-(y(y+xlogy))/(x(ylogx+x))

    Text Solution

    |

  5. If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equa...

    Text Solution

    |

  6. Let f(x)=m ax{2 sin x,1-cosx},x epsilon (0,pi). Then set of points of ...

    Text Solution

    |

  7. Differential coefficient of (x^((1+m)/(m-n)))^((1)/(n-1)).(x^((m+n)/(l...

    Text Solution

    |

  8. Let f (x) be a polynomial in x. The second derivative of f (e ^(x)) w...

    Text Solution

    |

  9. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  10. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  11. If y=sin^(-1)((1-x^2)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , find (dy)/(...

    Text Solution

    |

  12. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

    Text Solution

    |

  13. If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) satisfy f(x)((dy)/(dx))^(3)=...

    Text Solution

    |

  14. The derivative of sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1...

    Text Solution

    |

  15. Let f(x)=x+1/(2x+1/(2x+1/(2x+...…...oo))) Compute the value of f...

    Text Solution

    |

  16. Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

    Text Solution

    |

  17. If alpha an beta are roots of ax^(2)+bx+c=0 the value for lim(xto alph...

    Text Solution

    |

  18. lim(xto0)(tan([-pi^(2)]x^(2))-x^(2)tan([-pi^(2)]))/(sin^(2)x) equals (...

    Text Solution

    |

  19. underset(xtooo)lim(sin^(4)x-sin^(2)x+1)/(cos^(4)x-cos^(2)x+1)is equal ...

    Text Solution

    |

  20. The range of f9x)=[|s in x|+|cosx"|""]"dot Where [.] denotes the great...

    Text Solution

    |