log10(e^-xcosπx)求导

学习 时间:2026-08-24 17:06:39 阅读:6005
log10(e^-xcosπx)求导这道题的正确答案是什么.求大神解答

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体贴的铃铛

彩色的蜜粉

2026-08-24 17:06:39

=1/(ln10)[e^(-x)*cos(pi x)]*[e^(-x)cos(pi x)]'=1/(ln10)[e^(-x)*cos(pi x)]*[-e^(-x)cos(pi x)-e^(-x)(-pi sin(pi x))]=[-cos(pi x)+pi sin(pi x)]/[ln(10) cos(pi x)]

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  • 帅气的服饰
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    2026-08-24 17:06:39

    =1/(ln10)[e^(-x)*cos(pi x)]*[e^(-x)cos(pi x)]'=1/(ln10)[e^(-x)*cos(pi x)]*[-e^(-x)cos(pi x)-e^(-x)(-pi sin(pi x))]=[-cos(pi x)+pi sin(pi x)]/[ln(10) cos(pi x)]

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