http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T03:43:54-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2015-05-05T20:21:47-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:mvlec:mvlecchainrule?rev=1430882507 Chain Rule ( minutes) Recall: $$df=\frac{\partial f}{\partial x}dx+\frac{\partial f}{\partial y}dy$$ Also true if other variables are used $$df=\frac{\partial f}{\partial u}du+\frac{\partial f}{\partial v}dv$$ So, what if u, v are functions of x, y? text/html 2015-04-09T17:19:13-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:mvlec:mvlecdrules?rev=1428625153 Lecture (5 minutes) \begin{eqnarray} d(a) &=& 0\\ d(u^n) &=& nu^{n-1}du\\ d(uv) &=& udv + vdu\\ d(e^u) &=& e^udu\\ d(sinu) &=& cosu du\\ d(cosu) &=& -sinudu\\ d(lnu) &=& \frac{1}{u}du\\ \end{eqnarray} text/html 2015-04-26T15:26:59-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:mvlec:mvlecintquest?rev=1430087219 Questions for Integration text/html 2015-04-02T16:06:58-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:mvlec:mvlecsurfrep?rev=1428016018 Surface Representation (5-10 minutes) Usually surfaces are represented by