(cosx-xsinx)/(sinx+xcosx)求导

问题描述:

(cosx-xsinx)/(sinx+xcosx)求导
这个是dy/dx 参数方程是 x=tsint+2 求 dy/dx,d^2y/dx^2
y=2+tcost

[f(x)/g(x)]'=[f'(x)g(x)-f(x)g'(x)]/g^2(x)分子求导:[(cosx-xsinx)]'=-sinx-[sinx+xcosx]=-2sinx-xcosx分母求导:[(sinx+xcosx)]'=cosx+[cosx-xsinx]=2 cosx-xsinx[(cosx-xsinx)/(sinx+xcosx)]'=[(-2sinx-xcosx)*(...