Proof of the Chain Rule

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  1. Professor Peter
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Комментарии
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Sweet! Thanks for explaining that. Love proofs. Makes it easier to appreciate all the rules

micahchaya
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Unfortunately the second denominator csn be zero if an interval exists around x whrre f is constant.

punditgi
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Very good presentation! I am a long practitioner of math, including the calculus, and use the chain rule quite instinctively. However the why evaded me me until recently. Your video helps. Two salient points helped me. (a) The chain rule is directly connected to composition functions b) The definition of a derivative function, is directly linked to a limit. Also I appreciate more the importance of differentiability and continuity. Thank you!

raymondbyczko
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at 4:10 why cant we also recognize that its the derivative of the composite function? Why do we need to do a variable change?
Also the gear analogy slays

captainamericawhyso
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Dude this proof doesn’t work. What if g(x+h)=g(x) on some interval centered x

dosomestuff
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The first step of the proof is not jumping out at me. In the definition of f', I would start with "g(x+h) - g(x)" as the denominator. How does h = g(x+h) - g(x)?

bassmaiasa
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Thanks sir great job 👍👍👍 I really appreciate you

arbabullah
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Nice. But what is the font you use? I d like to use it in a report as well. Thanks!

haasjeoverkonijn