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(0.05*x+5000/x+15)'The calculation above is a derivative of the function f (x)

(0.05*x+5000/x)'+(15)'

(0.05*x)'+(5000/x)'+(15)'

0.05*(x)'+(5000/x)'+(0.05)'*x+(15)'

0.05*(x)'+(5000/x)'+0*x+(15)'

(5000/x)'+0*x+0.05*1+(15)'

((5000)'*x-(5000*(x)'))/(x^2)+(15)'+0.05

(0*x-(5000*(x)'))/(x^2)+(15)'+0.05

(0*x-(5000*1))/(x^2)+(15)'+0.05

0-5000/(x^2)+0.05

0.05-(5000/(x^2))

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