Warm up dealt with velocity and acceleration. Then went over homework, passed out practice assessment and worked on it
Homework
finish practice [blank] SOLUTIONS
Resources
finding a derivative implicitly and then finding the slope at a point (#4 worked out) (made by me) LINK
traditional implicit differentiation problem, using product rule (#5) LINK
tangent line equation given slope (#7) LINK
Reviewed practice assessment solutions in DS, then assessed in class. When finished, worked on review problems covering implicit differentiation, vertical and horizontal tangents, writing tangent lines, advanced derivative rules, and a review of non-calculus geometry in preparation for related rates.
Homework
Due Monday, complete selected problems from this worksheet (link)
front side: all
back side: #596-610 (evens), #525-536 (all)
Friday
Passed back assessments, warm up was on recognizing a limit definition of derivative problem where you are asked to find the derivative at a point rather than just the general derivative function. Returned briefly to limits and learned L'hopital's Rule which says that if a limit problem (usually involving a rational function/fraction) results in an indeterminate form upon direct substitution, then take the derivative of the top and bottom and try direct substitution again. This prevents one from having to do factor-and-cancel, rationalization, and similar methods.
Notes from board
Homework
Due Monday 11/21: mixed review problems linked and spelled out on Weds post above
Due Monday 11/28 (after Thanksgiving): p. 564 #5-17, 23-30 [D-AD0]
Resources
more examples and rational behind the rule: link
some simple examples: link
example that uses the rule multiple times! Link