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

(1/(2*x-(1/x)-1))*(2*x-(1/x)-1)'

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

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

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

(1/(2*x-(1/x)-1))*(2*(x)'+(-(1/x))'+0*x+(-1)')

(1/(2*x-(1/x)-1))*((-(1/x))'+0*x+2*1+(-1)')

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

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

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

(1/(2*x-(1/x)-1))*(x^-2+0+2)

(x^-2+2)/(2*x-x^-1-1)

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