證：已知y=x-arctanx
對(duì)其求導(dǎo),有：
y'=1-1/(1+x^2)
整理,得：y'=(x^2)/(1+x^2)
顯然,對(duì)于x∈(-∞,∞),恒有：y'≥0
所以,函數(shù)y=arctanx單調(diào)增.
證畢.
證明：函數(shù)y=x-arctanx單調(diào)增加.
證明：函數(shù)y=x-arctanx單調(diào)增加.
數(shù)學(xué)人氣：958 ℃時(shí)間：2019-09-20 06:35:21
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