Derivatives
Home Up Calendar Summer Pre-Calculus Limits and Continuity Derivatives Applications Integral Integration Techniques Volumes L'Hopital Infinite Series Parametric Vectors Unit Marks

 

                   

Unit Title Video Shorts Video Long Video Homework Solutions
0. Instantaneous Rate of Change. Definition

Example 1

Example 2

Example 3

       
1. Limit Definition of Derivative Limit Definition

Derivative Definition 1

 Derivative Definition 2

Derivative Equation of Normal Line

Equation of Tangent Line

Worksheet 3.1

Handout 3.1

Practice 3.1

Worksheet 3.1 Solutions

 

 

2. Differentiability     Definition of Derivative Worksheet 3.2 Worksheet 3.2 Solutions
3. Derivative Rules Product Rule Derivative Rules Power

Product

Product (3+)

Quotient

Reciprocal

Chain Rule with Power Rule

Chain Rule with Product Rule

Chain rule with Quotient Rule

 

   
4. Derivative Rules Examples (1) Derivative Rules    

Handout 3.4

 

 

5. Derivative Rules Examples (2) Chain Rule

Chain Rule

   

Handout 3.5

 
6. Derivative Rules Examples (3)       Handout 3.6  
7. Derivative Rules Proof of Power Rule     Worksheet 3.7 Worksheet 3.7 Solutions
8. Derivative Rules Polynomials     Handout 3.8  
9. Velocity and Acceleration     Vertical Tangent lines

Handout 3.10

 

10. Derivatives of Trigonometric Functions

Trig Limits

Trig Derivatives

  Trig

Chain Rule with Trig

Handout 3.11 Handout 3.11 Solutions
11. Derivatives of Inverse Functions

 

More Derivative Rules   Worksheet 3.12 Worksheet 3.12 Solutions
12. Derivatives of Inverse Trigonometric Functions Inverse Trig Inverse Functions Inverse Trig Handout 3.12 Handout 3.12 Solutions
13. Derivatives of Exponential and Logarithmic Functions

Exp and Log

  Exponential

Logarithms

Logarithm Laws

   
14. Optional     Hyperbolic

Inverse Hyperbolic

   
15. Implicit Differentiation

Implicit

Implicit

Implicit II

Implicit III

Implicit Implicit

Implicit and Tangent Line

Implicit and Second Derivative

Worksheet 3.14 Worksheet 3.14 Solutions
16. Review

Higher Order

    Review 1

Review 2

 
17. Review       Inverse Functions

Exploring inverse

Enrichment

 
  Test