- $\rhd$ Introduction to minimum and maximum points (5:29) Find the absolute and relative extrema on a graph.
- $\rhd$ Critical points (7:52) The “critical points” of a function are defined followed by a discussion on their relationship with the extrema of the function.
- $\rhd$ Finding critical points (5:50) Find the critical points of $f(x) = xe^{-2x^2}$.
- * Practice Find the critical points. (4 problems)
- $\rhd$ Extreme Value Theorem (7:57) A discussion on the Extreme Value Theorem.
- $\rhd$ Finding absolute extrema on a closed interval (6:55) Find the maximum value of $f(x) = 8\ln x-x^2$ over $[1,4]$.
- * Practice Absolute minima and maxima over closed intervals. (4 problems)
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