Remark for Worksheet 8A and implicit differentiation.pdf - Math 234 DIS 345 349 Remark for Worksheet 8A and implicit differentiation Fall 2019 TA Liding

Remark for Worksheet 8A and implicit differentiation.pdf -...

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Math 234, DIS 345 & 349 Fall 2019 Remark for Worksheet 8A and implicit differentiationTA: Liding YaoFor chain rule of last quiz, a better way to compute∂u∂xand∂u∂y(I think) is to writeu(x, y) =f(r(x, y)) wherer(x, y) =y-kx(orr(x, y) =x-ky, depending on which sectionyou are). And the chain rule produce the termdfdrwhich isf0. More precisely it isf0(y-kx).This way may looks dumb but it is rather useful for clarification yourselves. Think aboutwhyddxg(cx) =c·g0(cx) using single variable chain rule.ForProblem 6in Worksheet today, the notationP(a, b) =x(a)y(b) maybe a bit con-fusing on giving a formula for∂P∂aand∂P∂b. Think about writingPasP(x(a), y(b)) instead.Then under this expression we can write∂P∂a=∂P∂xx0

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