求导:已知x=2sint-t^2,y=3cost+t^3,求dy/dx
问题描述:
求导:已知x=2sint-t^2,y=3cost+t^3,求dy/dx
答
dy/dt= -3sint+3t^2
dx/dt=2cost -2t
所以
dy/dx
=(dy/dt) /(dx/dt)
=( -3sint+3t^2) /(2cost -2t)