review Quiz #1 (solutions have been uploaded to Files)
review the following concepts:
the difference quotient, which gives the slope of a secant line:
the definition of the derivative as the limit of difference quotients, which gives the slope of the tangent line to the graph y = f(x) at the point (a, f(a)):
finding the equation of the tangent line to y = f(x) at a point (x_1, f(x_1)) by using the point-slope equation of the line, with y_1 = f(x_1):
See Examples 3.1 – 3.3 in Sec 3.1 and Example 3.22 from Sec 3.3:
If you haven’t finished “Derivatives – Functions” yet (due later today), please consult the office hours recording from last Friday (Sept 30) as well as the recording of today’s office hours (Fri Oct 7).
(In particular, I went through “Derivatives – Functions” Problem 6, which involves a square root function. You can also look at Example 3.11 in Sec 3.2 of the textbook–I have included a screenshot of it below.)
After “Derivatives – Functions” please start working on the “Derivatives – Power Rule” and “Derivatives – Power Rule – Part 2:
“Derivatives – Power Rule”: we went through most of this yesterday in class, and you can also view the Tues Oct 4 office hours recording
“Derivatives – Power Rule”: I outlined how to approach some of these exercises at the end of office hours today
I may update this post over the weekend with additional hints on the Power Rule exercises.
This class uses WeBWorK, an online homework system. Login information will be provided by your professor. For information about how to use the WeBWorK system, please see the WeBWorK Guide for Students.
The WeBWorK Q&A site is a place to ask and answer questions about your homework problems. HINT: To ask a question, start by logging in to your WeBWorK section, then click “Ask for Help” after any problem.
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