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(0.5*x*sin(0.5*x))'The calculation above is a derivative of the function f (x)
(0.5*x)'*sin(0.5*x)+0.5*x*(sin(0.5*x))'
((0.5)'*x+0.5*(x)')*sin(0.5*x)+0.5*x*(sin(0.5*x))'
(0*x+0.5*(x)')*sin(0.5*x)+0.5*x*(sin(0.5*x))'
(0*x+0.5*1)*sin(0.5*x)+0.5*x*(sin(0.5*x))'
0.5*sin(0.5*x)+0.5*x*(sin(0.5*x))'
0.5*sin(0.5*x)+0.5*x*cos(0.5*x)*(0.5*x)'
0.5*sin(0.5*x)+0.5*x*cos(0.5*x)*((0.5)'*x+0.5*(x)')
0.5*sin(0.5*x)+0.5*x*cos(0.5*x)*(0*x+0.5*(x)')
0.5*sin(0.5*x)+0.5*x*cos(0.5*x)*(0*x+0.5*1)
0.5*sin(0.5*x)+0.5*x*0.5*cos(0.5*x)
0.5*sin(0.5*x)+0.25*x*cos(0.5*x)
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