MATH 141 Chapter 3 videos

Section 3.1 Tangents at a Point
Worksheet

Section 3.2 Derivative of a Function
Worksheet

Section 3.3 Differentiation Rules
Worksheet

Section 3.4 Derivative as a Rate of Change
Worksheet

Section 3.5 Derivatives of Trigonometric Functions
Worksheet

Section 3.6 The Chain Rule
Worksheet

Section 3.7 Implicit Differentiation
Worksheet

Section 3.8 Related Rates
Worksheet

Section 3.9 Linearization and Differentials
Worksheet

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Questions asked by students

Slope at a Point 3-1-21

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

Find the Rate of Change 3-2-9

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

Rate of Change 3-2-35

Left-Hand and Right-Hand Derivatives 3-2-37

Derivatives of f ' 3-2-51

Parallel to a Line 3-3-50

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

Finding Derivatives 3-3-60

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

Average Cost 3-4-23

Volume Changes with Radius 3-4-30

Product Rule with Trig Functions 3-5-7

Rate of Change 3-5-31

Product Rule with Trig 3-5-33

Equation of the Tangent to the Curve 3-5-35

Changing Definitions of Derivatives 3-5-49

Finding Derivatives 3-6-5 and 3-6-19

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

Second Derivative 3-6-59

Composition Functions and Derivatives 3-6-67

Composition Functions and Derivatives (Another Example) 3-6-67

Tangent to the Curve 3-6-81

Implicit Differentiation 3-7-1

Implicit Differentiation 3-7-7

Implicit Differentiation 3-7-7

Implicit Differentiation 3-7-11

Derivatives 3-7-15

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

Related Rates? 3-8-1

Rate of Change of Volume of a Cube 3-8-11

Related Rates 3-8-13

Related Rates (V=IR) 3-8-15

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 (Kite) 3-8-25

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

Linearization 3-9-1

Linearization 3-9-5

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