Differentiation 
Day 
Notes 
Critical Homework 
Videos 
1 
Limit Definition of Derivative

Lesson 1 Critical HW 
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 
Basic Differentiation Rules

Lesson 2 Critical HW 
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) 
3 
Differentiability

Lesson 3 Critical HW 
Solutions

Differentiability at a point (graphical approach) 
Differentiability at a point (algebraic approach) Video 1 & Video 2 
4 
Product & Quotient Rules

Lesson 4 Critical HW 
Solutions

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

Lesson 5 Critical HW 
Solutions

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

Lesson 6 Critical HW 
Solutions

Implict Differentiation Overview 
Implicit Differentitation Example 
Slope of a Tangent Line Implicitly 
Implicit VS. Explicit Differentiation 
Slope of Normal Line 
7 
Differentiation of Exponential Functions

Lesson 7 Critical HW 
Solutions

Differentiation of Exponential Functions 
8 
Differentiation of Logarithmic Functions

Lesson 8 Critical HW 
Solutions

Basic Differentiation of Logarithms 
Differentiation of Logarthmic Funcitons 
Using Properties to Differentiate Logarithmic Functions 
9 
Differentiation of Inverse Trigonometric Functions

Lesson 9 Critical HW 
Solutions

Derivative of Inverse Sine 
Derivative of Inverse Cosine 
Derivative of Inverse Tangent 
Derivatives of Inverse Trig. Functions 

UNIT 2 MAJOR ASSESSMENT PRACTICE REVIEW


Solutions

