log10(e^-xcosπx)求导

学习 时间:2026-10-13 03:57:17 阅读:2593
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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美满的毛巾

彩色的指甲油

2026-10-13 03:57:17

=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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  • 粗暴的蜻蜓
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    2026-10-13 03:57:17

    =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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