设X^y=Y^x, 求dy/dx|x=1：

设y=（x/1-x)^x,求dy/dx 设 x/y=ln(y/x) ,求 dy/dx 设y=√(x^2-1)求dy/dx 设y=sin2x/(1+x^2),求dy/dx, 设y=(1-x)³cosx,求dy/dx 设y=sin2x/(1+x^2),求dy/dx, 设X^y=Y^x, 求dy/dx|x=1： 设（X=TCOST,Y=TSINT,求DY/DX 设sin(x+y)=xy,求dy/dx. 设y=(tan2x)^cot(x/2) ,求dy/dx 设y=x分子sin2x.求dx分子dy. 设x+y=siny,求dy/dx 设x^2+y^2=4,求dy/dx 设y=(x比1+x)的x次方,求dy 比dx 设y-x-1/2sinx,则dx/dy= (dy/dx)-y=x求微分方程 y=(sinx)^x 求DY/DX y=x+lnx,求dx/dy