Derivative of sin(ln(x_)) | Advanced derivatives | AP Calculus AB | Khan Academy

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Sal differentiates sin(ln(x_)) by applying the chain rule twice. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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Комментарии
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It's like peeling an onion... And makes you cry...

StingyJeanDeBouff
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It's WRONG ! Derivative of ln(x^2) is equal to (2/x), NOT (1/x^2). So the solution is [(4/x)*(cos(ln(x^2))]

tomewa
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Yes, it's like peeling an onion and cooking from the outside in, until you get this delicious roux!

rhoadess
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It would be interesting to see how you work out the anti-derivative of that result.

BryanCarthell
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Can't we write (ln (x^2)) as (2 ln x)?

rushilpatel
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if I have d/dx{sin⁡(ln⁡3x )} do you think the it will be (cos (in 3x ))/3x

raidramadhansalimal-kathir
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Uhh... I'm pretty sure that's exactly what Sal did.

TeddyJohnson
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Wow, my bad! I must have had a bad day...
Sorry about that.

MrJayjayjayjaym