Chapter 3
Section 3.1 Derivatives,
average rates and instantaneous rates
worksheet Derivatives, average rates and instantaneous rates
HW OpenStax Pg 228: 1, 11-19 odds and Knewton Tangent Lines and Instantaneous
Velocity
Section
3.2 The Derivative as a function
worksheet
HW OpenStax Pg 243: 55- 79 odds and Knewton Limits Analytically for Continuous
and Piecewise Functions
Section
3.3 Differentiation Rules
worksheet for Differentiation Rules
HW OpenStax Pg 263, 106-149 odds
Section
3.4 Derivatives as Rates of Change
worksheet Derivatives as Rates of Change
HW OpenStax Pg 273, 151, 153, 157, 159,163, 171, 173 and Knewton Related Rates
in Other Applications
Section
3.5 Derivatives of Trigonometric Functions
worksheet Derivatives of Trigonometric Functions
HW Knewton Derivatives with Trigonometric Functions
Section 3.6 The Chain Rule
worksheet The Chain Rule
HW OpenStax 3.6 pages 297-298: 215-259 odds OR Knewton The Chain Rule (MUST
COMPLETE IT FOR CREDIT!!!)
Section 3.7
Derivatives of Inverse
Functions
worksheet Derivatives of Inverse Functions
HW OpenStax page 360: 261-297 odds
Section 3.8 Implicit Differentiation
worksheet Implicit Differentiation
HW Knewton Use Implicit Differentiation
Section 3.9
Derivatives of Exponential and Logarithmic
Functions
worksheet Derivatives of Exponential and Logarithmic Functions
HW OpenStax pg 331: 331-353 odds, 357
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Questions asked by students out of Thomas text but similar to OpenStax problems
Find the Point at which the Graph has a Horizontal Tangent 3-1-23
Slope of a Curve at a Point 3-1-33
Determine if the Graph has a Vertical Tangent at the Origin 3-1-35
Calculate the Derivative of the Function Using the Definition 3-2-5
Differentiate the Function and Find the Slope of the Tangent Line 3-2-13
Differentiate the Function and Find an Equation of the Tangent Line at the Indicated Point 3-2-18
Find the Value of the Derivative 3-2-19
Find the Value of the Derivative 3-2-21
Find the Derivative of the Function (13th Edition) 3-2-24
Use the Alternative Formula for the Derivative 3-2-25
Use Alternative Definition of Derivative to Find the Derivative of the Function 3-2-26
Graphing the Derivative 3-2-29
Left-Hand and Right-Hand Derivatives 3-2-37
Perpendicular at a Location 3-3-51
Perpendicular at a Location (another example)3-3-51
Perpendicular at a Location (third example) 3-3-51
Displacement, Velocity, Speeds, Accelerations, and Direction Change 3-4-1
Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-3
Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-5
Acceleration, Speed, Acceleration, Total Distance Traveled 3-4-7
Maximums; Time and Distance 3-4-10
Volume Changes with Radius 3-4-30Product Rule with Trig Functions 3-5-7
Equation of the Tangent to the Curve 3-5-35
Changing Definitions of Derivatives 3-5-49
Find the Derivative (With Trig Terms) 3-6-25
Chain Rule (13th Edition) 3-6-27
Derivatives of the Function 3-6-29
Derivative of the Function (sin) 3-6-39
Composition Functions and Derivatives 3-6-67
Composition Functions and Derivatives (Another Example) 3-6-67
Implicit Differentiation 3-7-1
Implicit Differentiation 3-7-7
Implicit Differentiation 3-7-7
Implicit Differentiation 3-7-11
Implicit Differentiation 3-7-17
Implicit Differentiation, First and Second Derivatives 3-7-21
Implicit Differentiation, First and Second Derivatives 3-7-25
Tangent and Normal Lines 3-7-29
Tangent and Normal Lines 3-7-35
Tangent and Normal Lines 3-7-37
Intersection Point of Normal line and a Curve 3-7-45
Rate of Change of Volume of a Cube 3-8-11
Rate of Change of Circular Plate 3-8-20
Rates of Change of Rectangle 3-8-21
Rates of Change (Ladder Against a House) 3-8-23
Rates of Change (Sand Falling Off Conveyor Belt) 3-8-27
Rates of Change (Hot Air Balloon and Bicycle) 3-8-33
Rates of Change (Moving Ball and Its Shadow) 3-8-39
Rates of Change (A Building and Its Shadow) 3-8-40
Rates of Change (Iron Ball Coated with Ice) 3-8-41
Rates of Change (Baseball Game) 3-8-43
Center of the Linearization 3-9-11
Find the First Derivative (With Square Roots) 3-9-17
Find the Change Each Function, the Estimate of df, and the Approximate Error 3-9-29
Find the Change, Estimate of df, and Approximate the Error 3-9-31