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(sin(1/x))'The calculation above is a derivative of the function f (x)

cos(1/x)*(1/x)'

cos(1/x)*(((1)'*x-(1*(x)'))/(x^2))

cos(1/x)*((0*x-(1*(x)'))/(x^2))

cos(1/x)*((0*x-(1*1))/(x^2))

(-1/(x^2))*cos(1/x)

-(x^-2*cos(1/x))

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