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

cos(pi/x)*(pi/x)'

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

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

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

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

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

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