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  • cos(xy)=x-y所確定的隱函數(shù)y=y(x)的導(dǎo)數(shù)dy/dx

    cos(xy)=x-y所確定的隱函數(shù)y=y(x)的導(dǎo)數(shù)dy/dx
    數(shù)學(xué)人氣:316 ℃時(shí)間:2019-10-10 06:41:24
    優(yōu)質(zhì)解答
    cos(xy)=x-y,隱函數(shù),兩邊求導(dǎo)-sin(xy)*(xy)'=1-y'-sin(xy)*(y+xy')=1-y'-ysin(xy)-xcos(xy)*y'=1-y'y'[1-xsin(xy)]=1+ysin(xy)y'=[1+ysin(xy)]/[1-xsin(xy)]也可用設(shè)二元函數(shù)f(x,y)=cos(xy)-x+y用隱函數(shù)求導(dǎo)法:f'x(x...
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