设x=e^-t y=e^-2t 求dy/dx

设x=e^-t y=e^-2t 求dy/dx 设x=e'sin t,y=e'cos t,求dy/dx. 设x=3e^-t,y=2e^t,则dy/dx等于多少? 设x=3e^-t,y=2e^t,则dy/dx等于多少? 设函数y=y(x)由x=1-e^t和y=t+e^-t确定,求dy/dx和d^2y/dx^2 x=2t+cost y=t+e^t 求dy/dx把t消除 设参数方程x=2t^3+2,y=e^2t 确定函数x=x(y),求dx/dy,d^2x/dy^2 设y=[e^x+e^(-x)]^2,求dy 求导数 x=3t²+2t+3 y=e^y*sint+t 求 dy/dx 设y=cos(x^2+e^x)求dy 参数方程x=(t-1)e^t,y=1-t^4,求dy/dx 设 {x=2t^3+2 y=e^2t-1 ,求dy/dx,d^2y/dx^2 设y=x^2*e^sinx,求dy. 设y=e^1-2x sinx,求dy 设y=e^cos^2*1/x,求dy y=2e的2x次方 和设x=te的t次方,y=t的平方e的t次方,求dy／dx和d的平方y／dx的平方 高数题（急）设函数y=y(x)由方程∫（0,x+y)e^(t^2)dt+lim（t趋向于无穷）x(1+2x/t)^t=0所确定,求dy/dx? 设x=e^(-t) 试变换方程x^2 d^2y/dx^2 +xdy/dx+y=0网上有种解法如下（网友franciscococo提供）：x=e^(-t),即dx/dt= -e^(-t)那么dy/dx=(dy/dt) / (dx/dt)= -e^t *dy/dt,而d^2y/dx^2= [d(dy/dx) /dt] * dt/dx= [-e^t *d^2y/dt^2 -e^t *dy/dt] * (