More on limit definition of a derivative. Midterm is Wednesday. Tutoring after school on Tuesday. Passed back assessments. Here are notes which showed how to do the limit definition , how to write the equation of a secant line (in preparation for tangent line equations), and some assessment problems worked out.
Homework: secant line wksht due Weds
Midterm is Weds (see previous post for practice test solutions)
p. 103: #9-22 (due Monday ) D-CD3
Resources: Writing the equation of a secant line: https://www.youtube.com/watch?v=wLtBPvMv6kw
(the first part finds both y values, which were given to you on the worksheet)
for limit definition of derivative: this should help with most of them: https://www.youtube.com/watch?v=WERgBgi4hg4
this should help with the last two: https://www.youtube.com/watch?v=PCOlAXzBKZw
Sub was present. Went over secant line solutions. Took the midterm.
Homework: p. 103 #9-22 (due Monday) (same as before) D-CD3
see above for resources
Friday
More use of derivative: saw how it only needs one point to write a line, rather than 2 (instant slope vs average slope). Did numerical exercise in which we used calculators to find the power rule. Passed back midterms, started error analysis on them. Complete analysis of errors will earn back half credit for missed problems.
Homework:
- complete error analysis on midterm ASAP
- finish p. 103 9-22 for Monday
- Writing tan lines of functions: worksheet due Friday 10/2
Resources:
more forthcoming
basics of the power rule: https://www.youtube.com/watch?v=bRZmfc1YFsQ
writing equations of tangent lines (note similarities and differences to writing secant lines)
https://www.youtube.com/watch?v=64mxT6b6qz4