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About Session 9, Clip 3 on product rule.
At about 6 min. 8 sec into the video, the professor says that he introduced u(v(x+∆x) which he didn't like. However, the formula until then reads (u(x+∆x)u(x))v(x+∆x), so the u in u(v(x+∆x) doesn't concern v(x+∆x) but belongs to (u(x+∆x)u(x)) as is indicated by the brackets.
He later introduced +u(x)v(x+∆x) to cancel for something that actually was not there in the first place.
Although it ends up as it should, I cannot follow the explantion provided. The explanation in the lecture notes seems more logical.
Did I miss something?
 one year ago
 one year ago
About Session 9, Clip 3 on product rule. At about 6 min. 8 sec into the video, the professor says that he introduced u(v(x+∆x) which he didn't like. However, the formula until then reads (u(x+∆x)u(x))v(x+∆x), so the u in u(v(x+∆x) doesn't concern v(x+∆x) but belongs to (u(x+∆x)u(x)) as is indicated by the brackets. He later introduced +u(x)v(x+∆x) to cancel for something that actually was not there in the first place. Although it ends up as it should, I cannot follow the explantion provided. The explanation in the lecture notes seems more logical. Did I miss something?
 one year ago
 one year ago

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StaceyBest ResponseYou've already chosen the best response.0
Can you give a website address?
 one year ago

FrankBBest ResponseYou've already chosen the best response.0
Dear Stacey, Sorry it took a few days. The address is http://ocw.mit.edu/courses/mathematics/1801scsinglevariablecalculusfall2010/partadefinitionandbasicrules/session9productrule/ from the course 1801sc single variable calculus with kind regards Frank
 one year ago
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