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(ln(5*x-2))'The calculation above is a derivative of the function f (x)

(1/(5*x-2))*(5*x-2)'

(1/(5*x-2))*((5*x)'+(-2)')

(1/(5*x-2))*(5*(x)'+(5)'*x+(-2)')

(1/(5*x-2))*(5*(x)'+0*x+(-2)')

(1/(5*x-2))*(0*x+5*1+(-2)')

(0+5)*(1/(5*x-2))

5/(5*x-2)

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