y=sin^3(1/x)的导数是

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y=sin^3(1/x)的导数是
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y=sin^3(1/x)的导数是
y=sin^3(1/x)的导数是

y=sin^3(1/x)的导数是
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

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