求导:f(x)=(e^x+1)/e^x

学习 时间:2026-08-14 05:49:49 阅读:3366
求导:f(x)=(e^x+1)/e^x

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2026-08-14 05:49:49

f(x)=(e^x+1)/e^x = 1 + 1/e^x = 1 + e^(-x)f '(x) = [1 + e^(-x)] ' = [e^(-x)] ' =[e^(-x)]*(-x)'=[e^(-x)]*(-1)= -e^(-x)= -1/e^x,即f '(x) = -1/e^x

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  • 陶醉的老师
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    2026-08-14 05:49:49

    f(x)=(e^x+1)/e^x = 1 + 1/e^x = 1 + e^(-x)f '(x) = [1 + e^(-x)] ' = [e^(-x)] ' =[e^(-x)]*(-x)'=[e^(-x)]*(-1)= -e^(-x)= -1/e^x,即f '(x) = -1/e^x

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