M2 differentiation 請幫手

👨🏻‍🏫 學術台數學

2012-01-04 2:46 am

Find the differentiation with respect to x.
y=(4^x)(Inx^4)

更新1:

先感謝你的回答我有一步唔識就係4^(x+1)點d 可以幫幫我嗎謝

更新2:

感謝問題已建解決

回答 (3)

2012-01-04 3:55 am

✔ 最佳答案

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參考: miraco

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2012-01-04 11:06 pm

the answers are as follows:

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參考: knowledge

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2012-01-04 4:50 am

Let y = 4^(x+1)
ln y = (x+1) ln 4 ( as ln(a^b) = b lna )
diff. both sides w.r.t. x ,
y ' / y = ln 4
y ' = y ln 4 = (ln4) 4^(x+1)

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