log10(e^-xcosπx)求导

学习 时间:2026-04-03 08:34:10 阅读:7836
log10(e^-xcosπx)求导这道题的正确答案是什么.求大神解答

最佳回答

傻傻的黑猫

耍酷的果汁

2026-04-03 08:34:10

=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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  • 聪明的篮球
    回复
    2026-04-03 08:34:10

    =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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