设y=(1+sinx)^x,则dy|x=π
人气:268 ℃ 时间:2020-01-31 08:47:10
解答
y=(1+sinx)^x
lny=ln(1+sinx)^x=xln(1+sinx)
y'/y=ln(1+sinx)+xcosx/(1+sinx)
y'=[ln(1+sinx)+xcosx/(1+sinx)](1+sinx)^x
dy/dx|x=π =-π可是题目要求dy|x=π?这种表述有问题。这个时候用导数方式更合适
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