Day: November 3, 2022

Class Info

• Date: Thurs, Nov 3
• Meeting Info: 10a-11:40a, N705

Topics

• more about average & instantaneous rates of Change:
  • example of commuting to campus: plotting position (distance from home) vs time elapsed, calculating average velocity
  • “Derivatives – Rates of Change”: Problems 6
    • A(s) = 9s^2, so A'(s) = 18s
    • Use this to graph A(s) and tangent line at point (s_0, A_0): https://www.desmos.com/calculator/eapykgrdld
  • position function s(t), velocity function v(t) = s'(t), acceleration function a(t) = v'(t) = s”(t)
  • “Derivatives – Rates of Change”: Problems 6-11
• Sec 3.5: “Derivatives of Trigonometric Functions”
  • more examples from “Derivatives – Trigonometric” (due Wed Nov 9)

Notes

• work through “Derivatives – Rates of Change” and
  “Derivatives – Trigonometric” before Tuesday
  • both sets are due Wed Nov 9 – but we can discuss any exercises you get stuck on in class on Tuesday
  • see OpenLab post: “Rates of Change: Average and Instantaneous“
  • see also Blackboard Collaborate recording of Mon Oct 31 office hours (covers Problems 1-5 from WebWork set)
  • see OpenLab post: “Derivatives of Trig Functions” (not yet posted)
• Office hours Friday and Monday (times TBA)