y=sin^3(1/x)的导数是_数学解答

y=sin^3(1/x)的导数是

人气：297 ℃　时间：2020-06-05 07:01:07

解答

y'
=(sin^3(1/x))'
=3sin^2(1/x)*(sin(1/x))'
=3sin^2(1/x)*cos(1/x)*(1/x)'
=-(3sin^2(1/x)cos(1/x))/x^2