Log Diff Rules. Log 10 2 8 8 log 10 2 derivative of natural logarithm. It is a means of differentiating algebraically complicated functions or functions for which the ordinary rules of differentiation do not apply.
The following problems illustrate the process of logarithmic differentiation. In calculus logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f f f f f. D dx ab 0 this is a constant d dx xn nxn 1 power rule d dx ax axlna derivative of an exponential function d dx xx xx 1 lnx logarithmic differentiation d d x a b 0 this is a constant d d x x n n x n 1 power rule d d x a x a x ln.
Log b x y log b x log b y for example.
D dx ab 0 this is a constant d dx xn nxn 1 power rule d dx ax axlna derivative of an exponential function d dx xx xx 1 lnx logarithmic differentiation d d x a b 0 this is a constant d d x x n n x n 1 power rule d d x a x a x ln. D dx ab 0 this is a constant d dx xn nxn 1 power rule d dx ax axlna derivative of an exponential function d dx xx xx 1 lnx logarithmic differentiation d d x a b 0 this is a constant d d x x n n x n 1 power rule d d x a x a x ln. It is a means of differentiating algebraically complicated functions or functions for which the ordinary rules of differentiation do not apply. Derivative of a log of a function derivative of logs with base other than e first let s look at a graph of the log function with base e that is.