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bettywise

新虫 (初入文坛)

[交流] 【求助】帮忙证明一个函数的单调性!

有谁能帮帮忙证明一下下面的函数是单调递增的?谢谢!
\frac{x(2-2cosx-xsinx)}{(1-cosx)(x-sinx)}, x 杠in(0, 2 杠pi).

[ Last edited by laizuliang on 2008-3-9 at 23:28 ]
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montclimber

金虫 (正式写手)

证明x1,x2在(0,pi/2)区间内,函数[f(x1)-f(x2)]/(x1-x2)的值为正,即可.

[ Last edited by montclimber on 2008-3-9 at 22:14 ]
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