Category: Class Recaps (Page 2 of 4)

WebWork

The 2nd WebWork set “Derivatives – Functions” is due Monday (Sept 30). We did some examples from that assignment in class–see below.

Boardshots

We went through some examples from “Derivatives – Functions” where we calculate f'(x) for a given function f(x) using the limit definition.

We then introduced some of the rules for differentiation (i.e., rules for finding the derivative) which are based on the limit definition, but which will allow us to calculate derivates without having the use the limit definition. In particular, the Power Rule will be important–look at some examples in Sec 3.3 which use the Power Rule!

WebWork

The 2nd WebWork set “Derivatives – Functions” is due next Monday (Sept 30).

Boardshots

We went through #4 from “Derivatives – Limit Definition” and introduced the concept of “the derivative function”, i.e, f'(x) as a function that we “derive” from a given function f(x). This is covered in Sec 3.2; please read and understand Examples 3.11 and 3.12 in that section.

WebWork

Here is the link for our section’s WebWork site again:

https://mathww.citytech.cuny.edu/webwork2/MAT1475-F24-Ganguli-D406

Please log in and start (or continue) working on the first WebWork set “Derivatives – Limit Definition”, which is due next Monday (Sept 23). We continued outlining some exercises from that set in class.

I have also opened the next WebWork set, “Derivatives – Functions”. We will discuss that set on Monday, but you can go ahead and get started on it after finishing the “Limit Definition” set–the concepts and techniques are very similar.

“Cartoon Guide to Calculus”

I posted the dropbox link to the pdf scan from this book in a separate OpenLab post; here it is again:

https://www.dropbox.com/scl/fo/vg409td0b9u7fzrqujoj2/ANCNItEcTol6R5DSs9j0voM?rlkey=spdmtc2ooncc268nym6w71l7u&st=7yqub4wz&dl=0

There is only one pdf in there as of now, containing a few pages from Ch 1 of the book (“Speed, velocity, change”)–please read them, and make the connection between average & instantaneous velocity, as discussed in the book; with slopes of secant & tangent lines, as we have discussed in class over the past 3 weeks.

I will add another pdf with some pages on the limit definition of the derivative.

Boardshots

We went through #1 and #2 from “Derivatives – Limit Definition”: