Class Agenda: October 1 – October 31, 2025
Class Agenda: October 1 – October 31, 2025
•Class does not meet today.
•HW: Nothing new.
•Exam #02 – Part 1!
•HW: Prepare, as needed, for Exam #02 – Part 2 TOMORROW!
•Exam #02 – Part 2!
•HW: None; relax!
•Section 3.6 Local Linear Approximations
•Point-Slope Form in Calculusland; example; using the tangent line equation to estimate function output
•Trigonometric example; (x - x1) must be in radians.
•Local Quadratic Approximation; example
•Intro to Section 3.6 Example 5.
•HW: None; relax!
Today’s Board Notes available in GC or click here.
•FRQ Packet1; go over
•Find the local quadratic approximation of tan (31°) correct to 4 decimal places; go over.
•HW: Finish in-class example; check Board Notes for solution.
Today’s Board Notes available in GC or click here.
FRQ Packet1 available in GC or click here.
Key & SG to FRQ Packet1 available in GC or click here.
•Class does not meet today.
•HW: Nothing new.
Quarter Final on Tuesday, October 14!
•F(x)G(x)H(x) formula
•Section 3.6: Splitting the Differential; delta-x, delta-y; dx; and dy; F'(x) = dy/dx; delta-y aprrox equal to dy
•Output on tangent line approximately equal to function output for inputs near point of tangency
•Why Do We Care? Radius of sphere problem; verify error with Geometry
•HW: None; relax! In-class work time tomorrow.
Today’s Board Notes available in GC or click here.
•In-class work time (50 min) on HW1 on Section 3.6
•HW: Finish HW1 on Section 3.6; check Key when posted.
HW1 on Section 3.6 available in GC or click here.
•Classes do not meet today.
•HW: Prepare, as needed, for Quarter 1 Final TOMORROW!
•Quarter 1 Final!
•HW: None; relax!
•Class does not meet today.
•HW: Nothing new.
•Go over Exam #02 Key question-by-question
•Clarify that Pn(x) = and f(x) approx = Pn(x)
HW: Have HW1 on Section 3.6 done and questions ready; we’re going over it tomorrow.
Today’s Board Notes available in GC or click here.
•Taylor and Maclaurin Polynomial vocab and definitions
•Log, b-base, ln, and e-base derivatives
•Logarithmic Differentiation to the d/dx step (hold for Implicit Differentiation)
•HW: None; relax!
Today’s Board Notes available in GC or click here.
•Implicit Differentiation; y as T(x); y' as T'(x); example
•T(x) form vs y' form; dy/dx is simply a 2-variable derivative; why; example
•Finish Logarithmic Differentiation
•HW: None; relax! In-class qwork time tomorrow.
Today’s Board Notes available in GC or click here.
•In-class work time on HW1 on Section 3.6 and 4.3
•OPTIONAL: watch pencast on Logarithmic Differentiation at: https://youtu.be/uGzCKgOT8pI
•HW: Finish HW1 on Section 3.6 and 4.3; check Key when posted.
Key to HW1 – Section 3.6 and 4.3 available in GC or click here.
HW1 on Section 3.6 and 4.3 available in GC or click here.
Pencast on Logarithmic Differentiation at https://youtu.be/uGzCKgOT8pI or click here.
•Class does not meet today.
•HW: Nothing new.
•Wrap up Logarithmic Differentiation from HW sheet
•Warm-Up
•FORMULA CORRECTION
•In-class work time (50 min) on HW5 on Derivatives
•HW: Finish HW5 on Derivatives; check Key when posted.
HW5 on Derivatives available in GC or click here.
FORMULA CORRECTION available in GC (“Course Resources”) or click here.
•AP Quiz #06!
•HW: Nothing new.
APQ #06 available in GC or click here.
Key to HW5 – Derivatives available in GC or click here.
•Derivatives of inverse trigonometric functions
•Related rates; process; examples
•HW: None; relax! In-class work time tomorrow.
Today’s Board Notes available in GC or click here.
•Derivative flash cards
•In-class work time on HW6 on Derivatives and HW1 on Related rates.
•HW: Finish HW6 on Derivatives and HW1 on Related rates; check keys when posted. Study derivative formulas. Work on FRQ Packet2
HW6 on Derivatives available in GC or click here.
HW1 on Related rates available in GC or click here.
Key to HW6 – Derivatives available in GC or click here.
Key to HW1 – Related rates available in GC or click here.
FRQ packet2 available in GC or click here.
AP Quiz #07 on Friday (Halloween 🎃 )!
•Class does not meet today.
•HW: Nothing new.
•Go over Exam #02 Key
•Go over Related Rates problem with the cone; how to deal with too many variables
•Show ho to apply that startegy to FRQ Packet2 Implicit problem.
•HW: Nothing new.
Today’s Board Notes available in GC or click here.
Exam Schedule through the end of the semester available in GC (“Class or School Business”) or click here.
•AP Quiz #07!
•HW: Nothing new.
APQ #07 available in GC or click here.
Exam #03 Study Sheet available in GC or click here.
Key to Exam #03 Study Sheet available in GC or click here.