I'm taking cal 2 right now and i missed the part in cal 1 where he talked about "log theorem". Now this guy tells us that he's lazy when he corrects exams and if we don't use the log theorem to derive a term then he won't correct that term. I've looked on the net but couldn't find explanation or theorem.(adsbygoogle = window.adsbygoogle || []).push({});

Here's an example of a term where he used it.

cos[(3x-2)^4]

When i derive this term I use the generalized power rule:

[u(x)]^n => n*u^(n-1)*u'

cos[(3x-2)^4] => -sin[(3x-2)^4]*4(3x-2)^3*(3)

He came up with this answer:

-2(3x-2)^4*4(3x-2)^3*(3)

Can anybody explain to me how one uses the log theorem?

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# Log theorem

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