If |t|lt1,"sin"x=(2t)/(1+t^(2)),"tan"y=(...

If `|t|lt1,"sin"x=(2t)/(1+t^(2)),"tan"y=(2)/(1-t^(2))`, then `(dy)/(dx)` is equal to a)`1/(x)` b)1 c)`-1/(2)` d)`-1/(x)`

A

`1/(x)`

B

1

C

`-1/(2)`

D

`-1/(x)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If x=(2at)/(1+t^(3))andy=(2at^(2))/((1+t^(3))^(2)), then (dy)/(dx) is

If y = sin^(2) cot^(-1) sqrt((1+x)/(1-x)) , then (dy)/(dx) is equal to a)2 sin 2x b)sin 2x c) (1)/(2) d) -(1)/(2)

If x = sin^(-1) (3t - 4t^(3)) and y = cos^(-1) (sqrt(1 - t^(2))) , then (dy)/(dx) is equal to a) (1)/(2) b) (2)/(3) c) (1)/(3) d) (2)/(5)

If x^2+y^2=t -1/t and x^4+y^4=t^2+1/t^2 then (dy)/ (dx) is equal to a) 1/(x^2y^3) b) 1/(xy^3) c) 1/(x^2y^2) d) 1/(x^3y)

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

If x = ( 3t)/( 1 + t ^(3)) and y = ( 3 t ^(2))/( 1 +t ^(3)), then (dy)/(dx) at t =1 equals

If y= (1)/( 1+ x+x^2) , then (dy)/(dx) is equal to a) y^(2) (1+ 2x) b) (-1 +2x)/( y^2) c) (1+2x)/(y^2) d) -y^(2) (1+2x)

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x)) , then (dy)/(dx) is equal to a) (5)/(1+25x^(2)) b) (1)/(1+25x^(2)) c)0 d) (5)/(1-25x^(2))