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①函数y=√cos(2x-π/3)的导数怎么求,②函数y=cos^31/x的导数,
人气:257 ℃ 时间:2019-12-20 19:44:30
解答
1.将cos(2x-π/3)看成整体√cos(2x-π/3)的导数是1/[2√cos(2x-π/3)]将2x-π/3看成整体cos(2x-π/3)的导数是-sin(2x-π/3)2x-π/3的导数是2根据复合函数求导的原理y'=1/[2√cos(2x-π/3)]*[-sin(2x-π/3)]*2=-sin(2...第二个函数为cos^3(1/x)道理一样的,先将cos1/x看成整体,导数是3cos^2(1/x)将1/x看成整体cos1/x的导数是-sin1/x1/x的导数是-1/x^2所以y'=3cos^2(1/x)*(-sin1/x)*(-1/x^2)=[3cos^2(1/x)*sin1/x]/x^2
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