Section 3.1 Tangents at a Point
Worksheet – Tangents at a Point
Section 3.2 Derivative of a Function
Worksheet – Derivative of a Function
Section 3.3 Differentiation Rules
Worksheet – Differentiation Rules
Section 3.4 Derivative as a Rate of Change
Worksheet – Derivative as a Rate of Change
Section 3.5 Derivatives of Trigonometric Functions
Worksheet – Derivatives of Trigonometric Functions
Section 3.6 The Chain Rule
Worksheet – The Chain Rule
Section 3.7 Implicit Differentiation
Worksheet – Implicit Differentiation
Section 3.8 Related Rates
Worksheet – Related Rates
Section 3.9 Linearization and Differentials
Worksheet – Linearization and Differentials
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Questions asked by students
Slope at a Point 3-1-21 (15th Edition)
Find the Point at which the Graph has a Horizontal Tangent 3-1-25 (15th Edition)
Slope of a Curve at a Point 3-1-35 (15th Edition)
Determine if the Graph has a Vertical Tangent at the Origin 3-1-37 (15th Edition)
Calculate the Derivative of the Function Using the Definition 3-2-5 (15th Edition)
Find the Rate of Change 3-2-9 (15th Edition)
Differentiate the Function and Find the Slope of the Tangent Line 3-2-13 (15th Edition)
Differentiate the Function and Find an Equation of the Tangent Line at the Indicated Point 3-2-18 (15th Edition)
Find the Value of the Derivative 3-2-19 (15th Edition)
Find the Value of the Derivative 3-2-21 (15th Edition)
Find the Derivative of the Function 3-2-24 (15th Edition)
Use the Alternative Formula for the Derivative 3-2-25 (15th Edition)
Use Alternative Definition of Derivative to Find the Derivative of the Function 3-2-26 (15th Edition)
Graphing the Derivative 3-2-29 (15th Edition)
Rate of Change 3-2-35 (15th Edition)
Left-Hand and Right-Hand Derivatives 3-2-38 (15th Edition)
Derivatives of f ‘ 3-2-53 (15th Edition)
Parallel to a Line 3-3-48 (15th Edition)
Perpendicular at a Location 3-3-49 (15th Edition)
Perpendicular at a Location (another example)3-3-49 (15th Edition)
Perpendicular at a Location (third example) 3-3-49 (15th Edition)
Finding Derivatives 3-3-60 (15th Edition)
Displacement, Velocity, Speeds, Accelerations, and Direction Change 3-4-1 (15th Edition)
Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-5 (15th Edition)
Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-5 (15th Edition)
Acceleration, Speed, Acceleration, Total Distance Traveled 3-4-7 (15th Edition)
Maximums; Time and Distance 3-4-10 (15th Edition)
Average Cost 3-4-21 (15th Edition)
Volume Changes with Radius 3-4-28 (15th Edition)
Product Rule with Trig Functions 3-5-7 (15th Edition)
Rate of Change 3-5-31 (15th Edition)
Product Rule with Trig 3-5-33 (15th Edition)
Equation of the Tangent to the Curve 3-5-35 (15th Edition)
Finding Derivatives 3-6-5 and 3-6-19 (15th Edition)
Find the Derivative (With Trig Terms) 3-6-25 (15th Edition)
Chain Rule (13th Edition) 3-6-27 (15th Edition)
Derivatives of the Function 3-6-29 (15th Edition)
Derivative of the Function (sin) 3-6-39 (15th Edition)
Second Derivative 3-6-59 (15th Edition)
Composition Functions and Derivatives 3-6-69 (15th Edition)
Composition Functions and Derivatives (Another Example) 3-6-69 (15th Edition)
Tangent to the Curve 3-6-83 (15th Edition)
Implicit Differentiation 3-7-1 (15th Edition)
Implicit Differentiation 3-7-7 (15th Edition)
Implicit Differentiation 3-7-7 (15th Edition)
Implicit Differentiation 3-7-11 (15th Edition)
Derivatives 3-7-15 (15th Edition)
Implicit Differentiation 3-7-17 (15th Edition)
Implicit Differentiation, First and Second Derivatives 3-7-21 (15th Edition)
Implicit Differentiation, First and Second Derivatives 3-7-27 (15th Edition)
Tangent and Normal Lines 3-7-31 (15th Edition)
Tangent and Normal Lines 3-7-37 (15th Edition)
Tangent and Normal Lines 3-7-39 (15th Edition)
Intersection Point of Normal line and a Curve 3-7-31 (15th Edition)
Related Rates? 3-8-1 (15th Edition)
Rate of Change of Volume of a Cube 3-8-11 (15th Edition)
Related Rates 3-8-14 (15th Edition)
Related Rates (V=IR) 3-8-15 (15th Edition)
Rate of Change of Circular Plate 3-8-20 (15th Edition)
Rates of Change of Rectangle 3-8-21 (15th Edition)
Rates of Change (Ladder Against a House) 3-8-23 (15th Edition)
Rates of Change (Kite) 3-8-25 (15th Edition)
Rates of Change (Sand Falling Off Conveyor Belt) 3-8-27 (15th Edition)
Rates of Change (Hot Air Balloon and Bicycle) 3-8-33 (15th Edition)
Rates of Change (Moving Ball and Its Shadow) 3-8-39 (15th Edition)
Rates of Change (A Building and Its Shadow) 3-8-40 (15th Edition)
Rates of Change (Iron Ball Coated with Ice) 3-8-41 (15th Edition)
Rates of Change (Baseball Game) 3-8-43 (15th Edition)
Linearization 3-9-1 (15th Edition)
Linearization 3-9-5 (15th Edition)
Center of the Linearization 3-9-11 (15th Edition)
Find the First Derivative (With Square Roots) 3-9-17 (15th Edition)
Find the Change Each Function, the Estimate of df, and the Approximate Error 3-9-29 (15th Edition)
Find the Change, Estimate of df, and Approximate the Error 3-9-31 (15th Edition)
3-9-43 estimated volume (15th Edition)