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picture1_Differentiation Pdf 170237 | Ch3 18eng


picture2_Differentiation Pdf 170237 | Ch3 18eng picture3_Differentiation Pdf 170237 | Ch3 18eng

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File: Differentiation Pdf 170237 | Ch3 18eng
August 4, 2018 CHAPTER 3: PARTIAL DERIVATIVES AND DIFFERENTIATION 1. Partial Derivatives and Differentiable functions In all this chapter, D will denote an open subset of Rn. Denition 1.1 ...

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...August chapter partial derivatives and differentiation differentiable functions in all this d will denote an open subset of rn denition consider a function f r let p i n we dene the derivative with respect to th variable at point as following limit if it exists lim tei x t where e en is canonical basis dened follows z terms iterms for example remark when above y use notation likewise economics utility are called marginal utilities production mar ginal products cobb douglas k l number units produced capital labor that formula means then produce good constants technological parameters product interpreted approximationtothevariationintheproduction using switch additional unit same before wesee positive more or increases on other hand decreasing increasing may interpret suppose keep constant amount increase one larger complemen tary previous hiring worker has eect size land exist gradient vector say dierentiable v kvk note taken two variables b letting see equivalent so write writing expli...
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