- $\rhd$ The Mean Value Theorem (6:36) The statement and what it means geometrically.
- $\rhd$ A polynomial example (4:49) Given $f(x) =x^2-6x+8$ and the interval $[2,5]$, find $c$ satisfying the Mean Value Theorem.
- $\rhd$ A square root function example (6:23) Given $f(x) =\sqrt{4x-3}$ and the interval $[1,3]$, find $c$ satisfying the Mean Value Theorem.
- * Practice: Using the Mean Value Theorem. (4 problems)
- $\rhd$ Finding decreasing interval (4:32) On which interval(s) is $f(x)=x^6-3x^5$ decreasing?
- $\rhd$ Finding increasing interval (5:59) On which interval(s) is $f(x) = \dfrac{x^2}{(x-2)^3}$ increasing?
- * Practice: Find increasing/decreasing intervals. (4 problems)
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