These Single Variable Calculus lecture notes cover:
- First Derivative Test: Increasing, decreasing, non-increasing, and non-decreasing functions are defined.
- Extremal Points: Local and global extrema (maxima and minima) are defined.
- Concavity and the Second Derivative Test: Concavity of a function defined as it relates to f, f', and f''. The Second Derivative Test is explained and an example is given.
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
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Keywords:MIT AP Calculus AP Calculus math mathematics curves derivatives absolute extrema relative extrema rates of change differentiation inverse functions geometry L’Hospital’s Rule
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