Search results
Results from the WOW.Com Content Network
Download as PDF; Printable version; In other projects ... logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate ...
1.2 Example 2: Derivative of ... Download as PDF; Printable version ... Taking the absolute value of the functions is necessary for the logarithmic differentiation of ...
For example, since the logarithm of a product is the sum of the logarithms of the factors, we have () ′ = ( + ) ′ = () ′ + () ′. So for positive-real-valued functions, the logarithmic derivative of a product is the sum of the logarithmic derivatives of the factors.
Download as PDF; Printable version; ... Implicit differentiation; Logarithmic differentiation; ... The second example illustrates the following generalization of ...
5 Example. 6 Converse of the one ... Download as PDF; Printable version; In other projects ... Logarithmic differentiation; Related rates; Taylor's theorem; Rules and ...
2 Examples. 3 Convergence of products. ... Download as PDF; Printable version; ... Implicit differentiation; Logarithmic differentiation;
Logarithmic differentiation is a technique which uses logarithms and its differentiation rules to simplify certain expressions before actually applying the derivative. [ citation needed ] Logarithms can be used to remove exponents, convert products into sums, and convert division into subtraction — each of which may lead to a simplified ...
Using that the logarithm of a product is the sum of the logarithms of the factors, the sum rule for derivatives gives immediately = = (). The last above expression of the derivative of a product is obtained by multiplying both members of this equation by the product of the f i . {\displaystyle f_{i}.}