我们把形如y＝f(x) φ(x) 的函数称为幂指函数，幂指函数在求导时，可以利用对数法：在函数解析式两边求对数得ln y＝φ(x)lnf(x)，两边求导得
＝φ′(x)·ln f(x)＋φ(x)·
，于是y′＝f(x) φ(x) [_作业帮
我们把形如y＝f(x) φ(x) 的函数称为幂指函数，幂指函数在求导时，可以利用对数法：在函数解析式两边求对数得ln y＝φ(x)lnf(x)，两边求导得
＝φ′(x)·ln f(x)＋φ(x)·
，于是y′＝f(x) φ(x) [
我们把形如y＝f(x) φ(x) 的函数称为幂指函数，幂指函数在求导时，可以利用对数法：在函数解析式两边求对数得ln y＝φ(x)lnf(x)，两边求导得
＝φ′(x)·ln f(x)＋φ(x)·
，于是y′＝f(x) φ(x) [φ′(x)·ln f(x)＋φ(x)·
]．运用此方法可以探求得y＝x
的单调递增区间是________．
由题意知y′＝x
(1－ln x)，x&0，
&0，令y′&0，则1－ln x&0，所以0&x&e.lNFlNlTE DAO 17
&来源：原创
00:00/30:17
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