The logarithmic derivative has several basic properties which make it useful in various contexts.
The logarithmic derivative of the -th power of a function is times the logarithmic derivative of the function. This follows from the power rule:
Using these identities, it is rather easy to compute the logarithmic derivatives of expressions which are presented in factored form. For instance, suppose we want to compute the logarithmic derivative of
Using our identities, we find that its logarithic derivative is
|Date of creation||2013-03-22 16:47:02|
|Last modified on||2013-03-22 16:47:02|
|Last modified by||rspuzio (6075)|