作者ian626626 (狗狗)
看板cksh85th310
標題[真的] 一篇課文
時間Thu Jul 24 23:50:29 2008
這只是一篇課文
拿來賺P幣跟練英打的，因為我輸光光了（T口T）
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以下是課文內容，不想看可以<-離開
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the linearization of a function f(x) about x=a , namely,the linear function
describes the behaviour of f near a better than any other polynomial of degree
1 because both P1 and f have the same value and the same derivative at a:
(we are now using the symbol P1 instead of L to stress the fact the
linearization is a polynomial of degree at most 1.)
We can obtain even better approximation to f(x) by using quadratic or heiger-
degree polynomial and matching more derivatives at x=a.For example,if f is
twice differentiable near a,then the polynomial satisfies P2(a)=f(a) , p'2(a)=
f'(a),and p2''(a)=f''(a) and describes the behaviour of f near a better than
any other polynomial of degree at most 2.
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