The derivative of y lnxcan be obtained from derivative of the inverse function x ey: Note that the derivative x 0of x ey is x ey xand consider the reciprocal: y lnx ) y0 1 x0 1 ey 1 x: The derivative of logarithmic function of any.
Logarithm cheat sheet (M J Rhoades) Notes: When log b is written, it is for any log base even base 'e' When 'ln' is written it means base 'e' which is log base 2. Derivatives Calculus Cheat Sheet - This is the derivatives portion of the Complete Calculus Cheat Sheet. The latter definition of the derivative is the instantaneous rate of change. If a e the notation lnxis short for log e x and the function lnxis called the natural loga-rithm.