Implicit Differentiation for Management Applications
Explore implicit differentiation in calculus for management applications, where functions are connected implicitly, and learn how to resolve implicit functions efficiently. See examples and applications of implicit differentiation in various contexts like the folium of Descartes and root manifolds.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Florian Rupp Calculus I for MGMT Applications of Differentiation Implicit Differentiation Mathematics for Management Supplementary Electronic Materials Applications of Differentiation The Chain Rule Implicit Differentiation Prof. Dr. Giorgi Chelidze, Prof. Dr. Malkhaz Shashiashvili & Prof. Dr. Dr. h.c. Florian Rupp Linear Approximation L Hospital s Rules & Indeterminate Forms Kutaisi International University
Often two variables are connected by means of a relation such that one of them can be considered as an implicit function of the other
In such cases the implicit function can be resolved as a set of well-defined functions
though, this can sometimes be quite cumbersome, like in the case of the folium of Descartes Albanian stamp
On the other hand implicit differentiation works in a straightforward way to obtain the derivative of an implicit function
Example: Application of implicit differentiation
Example: Application of implicit differentiation
Example: Application of implicit differentiation
Example: Application of implicit differentiation
Example: Application of implicit differentiation (2.5198, 3.1748)
Some further examples of curves due to implicit functions (root manifolds)
Florian Rupp Calculus I for Management Questions & Remarks? Thank You Very Much
