y=(x^2+1)ln(x^2+1),求dy

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/15 06:52:05

dy=ln(x²+1)d(x²+1)+(x²+1)dln(x²+1)
=ln(x²+1)*2xdx+(x²+1)*1/(x²+1)*d(x²+1)
=2xln(x²+1)dx+2xdx
=[2xln(x²+1)+2x]dx

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