Question

已知y等于x的x次方,求的y导数

Answer 1

y = x^x = e^(xlnx)
所以y` = e^(xlnx) * (xlnx)`
= e^(xlnx) * (lnx + x * 1/x)
= e^(xlnx) * (lnx + 1)
= x^x * (lnx + 1)
解答完毕