Скачать или смотреть calculus implicit differentiation problem including natural logarithm ln

In this calculus math example, we are presented with a complicated equation and tasked with finding the derivative dy/dx = y'. We walk through the steps by planning out which derivative rules we will be utilizing first. This calculus problem requires us to use the product rule, chain rule, power rule, and know the derivative of a natural logarithm ln. Each step is explained as we work through them. dy/dx is highlighted because it is the part of the problem that needs to be solved for in the end. To do so, after taking the derivative, we move all terms that contain dy/dx to one side of the equation and all terms that do not contain a dy/dx to the other side of the equation. dy/dx is then factored out of each term and both sides are divided by the other factor from that side of the equation. This results in dy/dx being on one side by itself and we have our derivative.

This video contains examples that are from Business Calculus, 1st ed, by Calaway, Hoffman, Lippman. from the Open Course Library, remixed from Dale Hoffman's Contemporary Calculus text. It was extended by David Lippman to add several additional topics. The text is licensed under the Creative Commons Attribution license. http://creativecommons.org/licenses/b...