If `x=f(t)` and `y=g(t)` , then find `(dy)/(dx)`

If x=f(t) and y=g(t) , then (d^2y)/(dx^2) is equal to

If x=2 and y=a t^2 ,then find dy/dx

If x=a(cos2t+2tsin2t) and y=a(sin2t-2tcos2t) , then find (dy)/(dx) .

If x=a t^2,\ \ y=2\ a t , then find (dy)/(dx)

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

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

If x=f(t) and y=g(t) , then write the value of (d^2y)/(dx^2) .

If x=a(cost+1/2logtan'(t)/(2) and y=asint then find (dy)/(dx) at t=pi/4

If x=2t-3t^(2) and y=6t^(3) then (dy)/(dx) at point (-1,6) is