ABSTRACT

Logarithmic differentiation is a means of differentiating algebraically complicated functions. The technique is performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself. Logarithmic differentiation relies on the function of a function rule as well as properties of logarithms to transform products into sums and divisions into subtractions, and can also be applied to functions raised to the power of variables of functions. Logarithmic differentiation occurs often enough in engineering calculations to make it an important technique. The chapter describes the laws of logarithms, differentiate simple logarithmic functions, differentiate an implicit function involving logarithms and differentiate more difficult logarithmic functions involving products and quotients.