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(cos(0.5*x))'The calculation above is a derivative of the function f (x)

-sin(0.5*x)*(0.5*x)'

-sin(0.5*x)*((0.5)'*x+0.5*(x)')

-sin(0.5*x)*(0*x+0.5*(x)')

-sin(0.5*x)*(0*x+0.5*1)

0.5*(-sin(0.5*x))

-0.5*sin(0.5*x)

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