作者LuisSantos (^______^)
看板trans_math
标题Re: [微分]ㄧ题微分
时间Tue Apr 24 21:20:12 2007
※ 引述《cicadar (cicadar)》之铭言：
: f(x)=√e^x/lnx^2
: 麻烦了
√(e^x)
f(x) = ----------
ln(x^2)
(1/2)((e^x)^(-1/2))(e^x)(ln(x^2)) - ((2x)/(x^2))(√(e^x))
f'(x) = ------------------------------------------------------------
(ln(x^2))^2
(e^x)(ln(x^2)) - (4/x)(e^x)
= ------------------------------
(2)(√(e^x))((ln(x^2))^2)
(x)(e^x)(ln(x^2)) - (4)(e^x)
= -------------------------------
(2x)(√(e^x))((ln(x^2))^2)
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