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我们已经看到如何约略oxima teafunct ionusingitstangentli
val ueatsomepoint(sayf(a))andthevalueofthederivativeatthesame
效果好(英国《金融时报》(a))wecanusetheseto findthetangentline,andthenusethetangentlinetoapproximatef(x)
forotherpoints x.Ofcourse thisapproximationwillonlybegoodwhenxisrelativelyneara.Thetangentlineapproximationoff(x)forxnearaiscalledthefirstdegreeTaylorPolynomialoff(x)并: