Re: [微積] 請教ln的微分
看板Math作者softseaweed (Gladys von Wackenheim)時間9年前 (2016/03/22 13:23)推噓1(1推 0噓 4→)留言5則, 3人參與討論串2/2 (看更多)
※ 引述《shingetsu (shingetsu)》之銘言：
: Find the derivative of ln[(ln x^4)^3]
ln[ ln(x^4)^3 ]' = 1/(ln(x^4)^3) * [ln(x^4)^3]'
= 1/(ln(x^4)^3) * 3*ln(x^4)^2 * [ln(x^4)]'
= 1/(ln(x^4)^3) * 3*ln(x^4)^2 * 1/x^4 * [x^4]'
= 1/(ln(x^4)^3) * 3*ln(x^4)^2 * 1/x^4 * 4x^3
= 12x^3*ln(x^4)^2 / (x^4*ln(x^4)^3)
= 12 / (x*ln(x^4))
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※ 編輯: softseaweed (97.90.206.74), 03/22/2016 13:27:05
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