xIny+2y=2x^3 use implicit differentiation to find y'

问题描述:

xIny+2y=2x^3 use implicit differentiation to find y'
我算到是y'=6x^2*y-yIny-x/2y
但书上答案是y'=6x^2*y-yIny/x+2y
我怎麼算也算不到x在分母呢,是书错还是我错...
1个回答 分类:数学 2014-11-08

问题解答:

我来补答
对函数左右求导的话,lny+x*y‘/y+2y'=6x^2,化简合并同类项以后y'=6x^2*y-yIny/x+2y.
 
 
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