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(sin((1/2)*x))'The calculation above is a derivative of the function f (x)

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

cos((1/2)*x)*((1/2)'*x+(1/2)*(x)')

cos((1/2)*x)*(0*x+(1/2)*(x)')

cos((1/2)*x)*(0*x+(1/2)*1)

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

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

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