Common chain rule misunderstandings | Derivative rules | AP Calculus AB | Khan Academy

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Three common student misconceptions when applying the Chain Rule (from AP team at College Board).

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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This channel is the reason i got 98/100 in Basic Calc. Amost all STEM students in my school relies on your videos. Keep it going!

xiao
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sir you teach very nicely... thanks for taking lots of efferts

azlanahmad
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Finally, an explanation from a human being

RedTornado
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great work. well explained. it is a confusing one.

sidiebnou
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Six minutes in, as I drink some wine, I'm genuinely wondering why the hell I'm required to take Calculus. It has nothing to do with my major, and I seriously doubt anyone uses this stuff other than NASA scientists.
**sigh**

kylemedia
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Would this be the same as cot(x) then? If so, why is it left as just (1/sinx)*cosx?

Ryan-bzki
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OK. Perhaps one should mention your result as written are diff. coeffs, without a terminal dx.

qualquan
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I thought the derivative of ln(u) was u'/u so couldn't you use that to get cos(x)/sin(x)?

josechoa
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2:45 " we have to take the derivative of outer function with respect to inner function"
Actually that is not true,
The outer function is ln(x), and inner function is sin(x), if what you said were true then it would be d/dx (ln(x)÷sin(x)) which is complicated.
Actually the first part of the answer would be ' derivative of the whole function with respect to the inner function.'
i.e., d/dx (ln(sin(x))÷sin(x)

anandhus
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I just googled a picture of Sal Khan, and he's nothing like I imagined him to be. I pictured a generic white man from Texas with short brown hair

kylemedia
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Why could this video not have come out last year...RIP me

davidchen
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Who's taking the AP Calculus test in May? :^)

brodrickk.
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Why doesnt he just bind some keys to quickly change the colors?

suck