Differentiation 
Day 
Notes 
Critical Homework 
Videos 
1 
Limit Definition of Derivative 

Lesson 1 
Solutions 
Derivative as Slope of a Curve 
Equation of Tangent Lines 
Slope of Secant Lines 
Derivative as a Limit 
Limit Definition of Derivative 
Alternate Form for Limit Definition of Derivative 
Using Limit Def'n to find a derivative at a specific value 
Using Limit Def'n to find a derivative at a ANY value 
2 
Differentiability 

Lesson 2 
Solutions 
Differentiability at a point (graphical approach) 
Differentiability at a point (algebraic approach) Video 1 & Video 2 
3 
Basic Differentiation Rules 

Lesson 3 
Solutions 
Derivative of a Constant 
Basic Differentiation Rules 
The Power Rule 
Differentiation of Polynomials 
Differentiation of expressions containing negative exponents 
Differentiation of expressions containing fractional exponents & basic radical expressions 
Differentiation of Sine and Cosine (0:001:05) 
4 
Average & Instantaneous Rate of Change 

Lesson 4 
Solutions 
Using Average ROC to Approximate Instantaneous ROC Video 1 & Video 2 & Video 3 
5 
Product & Quotient Rules 

Lesson 5 
Solutions 
Product Rule of Variable Functions & Using Tables & AP Application 
Quotient Rule & Rational Functions & AP Application 
6 
Chain Rule 

Lesson 6 
Solutions 
Chain Rule Overview 
Using Chain Rule to Differentiate Composite Functions
Video 1 & Video 2 & Video 3 & AP Application (using tables) 
7 
Implicit Differentiation 

Lesson 7 
Solutions 
Implict Differentiation Overview 
Implicit Differentitation Example 
Slope of a Tangent Line Implicitly 
Implicit VS. Explicit Differentiation 
Slope of Normal Line 
8 
Related Rates 

Lesson 8 
Solutions 
Related Rate Examples #1 & #2 & #3 & #4 & #5 & #6 