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Implicit Differentiation & Derivatives of Inverse Functions - Lecture Notes

These lecture notes can be used to supplement your studies.


Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Inverse Functions Lecture Notes

by Massachusetts Institute of Technology MIT OpenCourseware

These Single Variable Calculus lecture notes cover: Inverse Functions: Definition of inverse and invertible functions, including the necessary conditions for a function to be invertible. The Graph of an Inverse Function: The graph of the inverse of y = f(x) is the graph of x = f(y) (switch the roles of x and y or reflect across the line y = x). Derivatives of Inverse Functions: Formula for the derivative of an inverse function. Course: 18.01 Single Variable Calculus, Fall 2005 Instructor: Prof. Jason Starr Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode
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