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求函数y=(x-1)e^arctanx 的单调区间及极值
人气:305 ℃ 时间:2019-10-09 06:56:09
解答
∵y=(x-1)e^arctanx ∴y′=(x-1)′e^arctanx+(x-1)[e^arctanx]′=e^arctanx+(x-1)e^arctanx• [arctanx]′=e^arctanx+(x-1)e^arctanx• [1/(1+x^2)]=e^arctanx(1+(x-1)/(1+x^2))令y′=0∵e^arctanx>0即求...
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