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(x*((1-cos(6*x))/2))'The calculation above is a derivative of the function f (x)

(x)'*((1-cos(6*x))/2)+x*((1-cos(6*x))/2)'

1*((1-cos(6*x))/2)+x*((1-cos(6*x))/2)'

1*((1-cos(6*x))/2)+x*(((1-cos(6*x))'*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((((-cos(6*x))'+(1)')*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((((1)'-sin(6*x)*(6*x)')*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((((1)'-sin(6*x)*((6)'*x+6*(x)'))*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((((1)'-sin(6*x)*(0*x+6*(x)'))*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((((1)'-sin(6*x)*(0*x+6*1))*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*(((6*(-sin(6*x))+(1)')*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*(((6*sin(6*x)+0)*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((6*sin(6*x)*2-((1-cos(6*x))*(2)'))/(2^2))

1*((1-cos(6*x))/2)+x*((6*sin(6*x)*2-((1-cos(6*x))*0))/(2^2))

1*((1-cos(6*x))/2)+x*3*sin(6*x)

(1-cos(6*x))/2+3*x*sin(6*x)

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