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(0.5*ln(100-x))'The calculation above is a derivative of the function f (x)
(0.5)'*ln(100-x)+0.5*(ln(100-x))'
0*ln(100-x)+0.5*(ln(100-x))'
0*ln(100-x)+0.5*(1/(100-x))*(100-x)'
0*ln(100-x)+0.5*(1/(100-x))*((-x)'+(100)')
0*ln(100-x)+0.5*((100)'-1)*(1/(100-x))
0*ln(100-x)+0.5*(0-1)*(1/(100-x))
0*ln(100-x)+0.5*(-(100-x)^-1)
0.5*(-(100-x)^-1)
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