Chapter 3: Derivatives
Packet
Chapter 3 Packet Numbered.pdf3.1 The Derivative of a Function
Standards
Students will be able to calculate slopes and derivatives, using the definition of the derivative
Students will be able to graph f from f', graph f' from the graph of f, and graph the derivative of a function given numerically with data
Notes
Derivative Notes.pdf3.1 Notes.pdfBook Problems
2.4: #’s 4,10,14,18,34, QQAP#4
3.1: #’s 1,5,7,13-16,22,24-26,32,36,44
Videos
Average/Instantaneous Rates of Change
Estimating the Slope of the Tangent Line
Average Velocity Versus Instantaneous Velocity
Average Rate of Change and the Derivative at a Point
Writing the Equation of the Tangent Line
The Derivative at a Point and Tangent Lines
Derivative as a Function Example
Interpreting Limits as Derivatives
Comparing a Graph's Function with its Derivative
Finding the Derivative of a Rational Function
Definition of Derivative and Tangent Lines
Average Rate of Change from a Graph (Draw Lines)
Slope of Secant Lines
Secant Line Limits (Numerically)
Secant Line Limits (Graphically)
Drawing Tangent Lines
Slope of Tangent Lines
Equation of Tangent Lines
Write Derivative as a Limit (h->0 only)
Write Derivative as a Limit
Find Horizontal or Vertical Tangent
Determine Differentiability from a Graph
Estimate Derivative from a Graph (Level 1)
Estimate Derivative from a Graph (Level 2)
3.2 Differentiability
Standards
Students will be able to find where a function is not differentiable and distinguish between corners, cusps, discontinuities, and vertical tangents
Students will be able to approximate derivatives numerically and graphically
Notes
3.2 Notes.pdfBook Problems
3.2 #s 3,6,8,10,11,12,13,24,28,31,33,39
Videos
Differentiability Algebraically
Continuity and Differentiability
Differentiability-System of Equations
Find Derivative from Limit Definition
Piecewise Differentiability with Transcendentals
3.3 Rules for Differentiation
Standards
Students will be able to use the rules of differentiation to calculate derivatives, including second and higher order derivatives
Students will be able to use the derivative to calculate the instantaneous rate of change
Notes
3.3 Notes.pdfBook Problems
3.3 #s 2,3,5,8,12,13,21,23,25,33,35,37,45,52, QQAP#4
Videos
Power Rule Derivatives
Power Rule Single Term
Derivatives of Polynomials
Derivative Function Evaluation
Equation of Tangent to the Curve
Find Point Given Slope of Tangent Line
Power Rule (Level 2)
Power Rule (Level 3)
Calculating Higher Derivatives
Product/Quotient/Chain Rules
Product Rule (Level 1)
Product Rule (Level 2)
Quotient Rule
3.4 Velocity and Other Rates of Change
Standards
Students will be able to use derivatives to analyze straight line motion and solve other problems involving rates of change
Notes
3.4 Freefall Constants and Vertical Motion.pdfBook Problems
3.4 #s 2,4,5,8,9,11,13,18,21,25,27,31,32,34,44, 45
Videos
Particle Motion (Derivatives)
Particle Motion (Guided)
Particle Motion from a Graph
Particle Motion from an Equation (Level 1)
Particle Motion from Equation (Level 2)
Finding Distances using Derivatives or a Graph
3.5 Derivatives of Trigonometric Functions
Standards
Students will be able to use the rules for differentiating the six basic trigonometric functions
Notes
3.5 Notes.pdfBook Problems
3.5 #’s 5,9,16,21,25,27,28,30,31,37,40,41,42, QQAP#2,4
Videos
Review
Review Practice
Chapter 3 Review2.docChapter 3 Review.docAnswer Key
Key Chapter 3 Review 2.pdfKey Chapter 3 Review.pdfChapter 3 Review Problems.pdfChapter 3 Review Problems KEY.pdf