Before I call out my professor for this. I want to confirm, this is incorrect right?
回答 (2)
2017-03-16 5:16 am
✔ 最佳答案
No, that's correct.Here's the proof:
y = a^x
ln y = ln (a^x)
ln y = x ln a
d/dx (ln y) = d/dx (x ln a)
y' / y = ln a
y' = (ln a) y
y' = (ln a) (a^x)
In this case, y = 2^(3x) = (2^3)^x = 8^x.
So y' = (ln 8) (8^x)
2017-03-16 5:12 am
Thank goodness you came here to confirm.
It will save you some embarrassment.
The above is quite correct.
3 ln 2 = ln(2^3) = ln 8
2^(3x) = (2^3)^x = 8^x
You can also use WolframAlpha to check:
http://www.wolframalpha.com/input/?i=d%2Fdx+(2%5E(3x))
收錄日期: 2021-04-24 00:17:41
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20170315210717AA99zXN