Announcements/Schedule

Exam #2 will be on Monday Nov 18. I handed out a set of written HW exercises which will serve a review exercises for the exam. The pdf is available on OpenLab Files.

Boardshots

We reviewed logarithmic functions–the inverses of the exponential functions–before stating the derivatives of the various exponential and logarithmic functions.

This material is covered in Sec 3.9 of the textbook. Next time we will cover one more topic in that section, logarithmic differentiation.

Announcements/Schedule

Boardshots

We reviewed exponential functions before stating the key fact: that the derivative of the (natural) exponential function e^x is just e^x!

We did a couple examples using this:

Boardshots

We discussed the concept of average velocity, using data from the NYC Marathon to make some calculations. I also mentioned this essay about Usain Bolt and average velocities: “Usain Bolt’s Split Times and the Power of Calculus“. We then did some more examples from the “Chain Rule – Pt 2” WebWork: