隐函数的微分,这种题怎么做啊?

如题所述

两边对x求导即可
cosy*y‘=y+xy’→y‘=y/(cosy-x)
2x+2yy'=0→y'=-x/y
2yy'=2x-y'/√(1-y²)→y'=2x/(2y+1/√(1-y²))
y+xy'=2yy'→y'=y/(2y-x)
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