Question

函數(shù)y=xlnx的導(dǎo)函數(shù)是

1. A.
   y'=x+lnx
2. B.
   y'=lnx
3. C.
   y'=x-lnx
4. D.
   y'=1+lnx

Answer 1

D
分析：根據(jù)導(dǎo)數(shù)的運(yùn)算法則：[f（x）g（x）]^′=f^′（x）g（x）+f（x）g^′（x）可計(jì)算出答案．
解答：由導(dǎo)數(shù)的運(yùn)算法則可得：，
故選D．
點(diǎn)評(píng)：本題考查了導(dǎo)數(shù)的運(yùn)算法則，熟練掌握導(dǎo)數(shù)的運(yùn)算法則及記住基本初等函數(shù)的導(dǎo)數(shù)是正確計(jì)算的前提．