| 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 (0:00-1:05) |
| 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) |
| |
AP Classroom Practice for Lessons 1-5 (Solutions) |
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| 6 |
Implicit Differentiation
|
Lesson 6 Critical HW |
Solutions
|
Implict Differentiation Overview |
| Implicit VS. Explicit Differentiation |
| Slope of a Tangent Line Implicitly |
| Implicit Differentitation Example |
| 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 |
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AP Classroom Practice for Lessons 6-9 (Solutions) |
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UNIT 2 MAJOR ASSESSMENT PRACTICE REVIEW
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Solutions
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