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

(4)'*sin(x/2)+4*(sin(x/2))'

0*sin(x/2)+4*(sin(x/2))'

0*sin(x/2)+4*cos(x/2)*(x/2)'

0*sin(x/2)+4*cos(x/2)*(((x)'*2-(x*(2)'))/(2^2))

0*sin(x/2)+4*cos(x/2)*((1*2-(x*(2)'))/(2^2))

0*sin(x/2)+4*cos(x/2)*((1*2-(x*0))/(2^2))

0*sin(x/2)+4*1/2*cos(x/2)

2*cos(x/2)

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