Find `dy/dx,`
`sinx=(2t)/(1+t^2),tany=(2t)/(1-t^2)`

Find the dy/dx when sin x = (2t)/(1+t^2), tan y = (2t)/(1-t^2)

Find (dy)/(dx) if x=(3at)/(1+t^3), y=(3at^2)/(1+t^3) at t=1/2

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

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

sinx = 2t/1+t^(2) , tany = 2t/1-t^(2) , find dy/dx .

Show that (dy)/(dx) is independent of t_ . cos x=sqrt((1)/(1+t^(2))) and siny=(2t)/(1+t^(2))

Find the slope of the tangent to the curve x=a((1-t^2)/(1+t^2)) and y= (2at)/(1+t^2) at t= (1)/(sqrt3)

If sin y=(2t)/(1 + t^2) , cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx) is independent of t.