已知参数方程x=1-t^3,y=t-t^3,求dy/dx,d^2/dx^2

Question

已知参数方程x=1-t^3,y=t-t^3,求dy/dx,d^2/dx^2

Answer 1

dy/dx=(dy/dt)/(dt/dx)
=(1-3t^2)/(-3t^2)
=1-1/(3t^2)