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) |
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 |
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UNIT 2 MAJOR ASSESSMENT PRACTICE REVIEW
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Solutions
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