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COLE'S WORLD OF MATHEMATICS
Ch 5 - Logarithmic, Exponential, and Other Transcendental Functions
Chapter 5 PDF Resource
calculus_chapter_5.pdf
File Size: 1219 kb
File Type: pdf
Download File


Lecture Notes & Videos
Section 5-1
Logarithms: Differentiation

Review of Logarithms
-----VIDEO: Properties of Logarithms (Part 1 of 2)
-----VIDEO: Properties of Logarithms (Part 2 of 2)
-----VIDEO: Compressing Logarithms
-----VIDEO: Expanding Logarithms

-----VIDEO: The Derivative of Logarithmic Functions

Detailed Example of Logarithmic Differentiation

-----VIDEO: Logarithmic Differentiation

Section 5-2 (Day 1)
Logarithms: Integration

-----VIDEO: Integration: Logarithms

Integrating the Oddball Function

-----VIDEO: Tricks for Memorizing Trig Integrals

Section 5-2 (Day 2)
Differential Equations

-----VIDEO: Solving 1st Order Separable Differential Equations

Section 5-3
Inverse Functions

-----VIDEO: Review of Inverse Functions

-----VIDEO: Finding the Derivative of an Inverse

Section 5-4 (Day 1)
Exponential Functions: Differentiation

-----VIDEO: The Derivative of the Natural Exponential Function

-----VIDEO: Implicit Differentiation with e^y

Section 5-4 (Day 2)
More on Exponential Functions, including Integration

-----VIDEO: Locating Extrema & Points of Inflection

-----VIDEO: Integrating Exponential Functions

Section 5-5 (Day 1)
Bases Other Than "e"

-----VIDEO: Differentiating Bases Other Than "e"

Section 5-5 (Day 2)
Compound Interest and Exponential Growth & Decay

Compound Interest Notes & Exponential Growth & Decay Notes

-----VIDEO: Exponential Growth & Decay
--------------Example #3 in the video goes over Half-Life.

Notes for Inverse Trig Functions

-----VIDEO: Evaluating Compositions of Trig Functions

Section 5-6
Differentiating Inverse Trig Functions

-----VIDEO: Tricks for Memorizing Inverse Trig Derivatives


Ch 5 Formula Sheets
Chapter 5 Formulas Sheet (Logarithmic and Exponential Functions)

A Blank Chapter 5 Formula Sheet

Chapter 5 Formula Sheet KEY


Optional Review WS's for the Properties of Logarithms
Properties of Logarithms WS #1 with KEY

Properties of Logarithms WS #2 with KEY


Worksheets
Sec 5-1 to 5-2 WS

Sec 5-1 to 5-4 WS

Growth & Bacteria WS

More Applications WS (covers Growth & Bacteria)

Chapter 5 Review WS

Chapter 5 Review WS KEY

Open Ended AP Questions WS #7

Open Ended AP Questions WS #1 thru #6

Chapters 1-5 Review WS

Formula WS

Inverse Trig Functions WS

Logarithmic Differentiation WS

Chapter 1-5 Review WS #2

Chapters 1-5 Review WS #2 KEY

Logarithmic Differentiation WS #2


Study Guides (Used Prior to 2021-22)
QUIZ Study Guide for Sec 5-1 to 5-5 w/ Cumulative Review and Memorization

QUIZ Study Guide for Sec 5-6 w/ Cumulative Review and Memorization

TEST Study Guide for Chapter 5 w/ Review


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