The derivative of the natural logarithm function ( \ln(x) ) is ( \frac{1}{x} ). This can be denoted as ( \frac{d}{dx} (\ln(x)) = \frac{1}{x} ) or ( (\ln(x))' = \frac{1}{x} )
. The general formula for the derivative of the natural logarithmic function is: If ( x>0 ) and ( y=\ln(x) ), then ( \frac{dy}{dx} = \frac{1}{x} )
