Math 141 Calculus 1 Chapter 4

Section 4.1 Extreme Values of Functions
Worksheet – Extreme Values of Functions

Section 4.2 Rolle’s Theorem and Mean Value Theorem
Worksheet – Rolle’s Theorem and Mean Value Theorem

Section 4.3 First Derivative Test
Worksheet – First Derivative Test

Section 4.4  Concavity (LONG with LOTS of examples!)
Worksheet – Concavity

Section 4.5 Optimization
Worksheet – Optimization

Section 4.6 Newton’s Method
Worksheet – Newton’s Method

Section 4.7 Antiderivatives

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Questions asked by students

Absolute Max/Min on Given Interval 4-1-29 (15^th Edition)

Critical Points 4-1-43 (15^th Edition)

Critical Points 4-1-45 (15^th Edition)

Critical Points 4-1-47 (15^th Edition)

Find Extreme Values and Interpret Based on Volume 4-1-59 (15^th Edition)

Mean Value Theorem 4-2-5 (15^th Edition)

Mean Value Theorem 4-2-14 (15^th Edition)

Find Functions with the Derivative 4-2-35 (15^th Edition)

Find Function of the Derivative 4-2-37 (15^th Edition)

Find Function of the Derivative 4-2-39 (15^th Edition)

Find the Body Position at a Given Time 4-2-47 (15^th Edition)

Find Critical Points, Increasing/Decreasing, Max/Min Vales 4-3-1 (15^th Edition)

Critical Points with Trig 4-3-13 (15^th Edition)

Critical Points with Trig 4-3-13 (15^th Edition)

Find Increasing/Decreasing and Absolute Max/Min 4-3-29 (15^th Edition)

Critical Points 4-3-37 (15^th Edition)

 Critical Points 4-3-57 (15^th Edition)

Extreme Values 4-3-60 (15^th Edition)

Sketch the Continuous Function 4-3-69 (15^th Edition)

Inflection Points, Max/Min, Concavity 4-4-5 explained in detail (15^th Edition)

Inflection Points, Max/Min, Concavity 4-4-7 graphing (15^th Edition)

Inflection Points, Max/Min, Concavity 4-4-43 graphing (15^th Edition)

Inflection Points, Max/Min, Concavity 4-4-51 concavity and graphing (15^th Edition)

Graphing and Identify Extreme Points and Inflection Points 4-4-61 (15^th Edition)

4-4-65 (15^th Edition)

Find Value of Constants with Max/Min and Inflection Points 4-4-119 (15^th Edition)

Rectangle Inscribed in Isosceles Right Triangle 4-5-3 (15^th Edition)

Parabolic Arch with Rectangular Window of Max Area 4-5-4 (15^th Edition)

Rectangular Tank with Square Base and Open Top–Find Minimum Weight 4-5-9 (15^th Edition)

Find Dimensions to Minimize Paper Used 4-5-11 (15^th Edition)

Find Dimensions to Maximize Volume of a Covered Box 4-5-16T (15^th Edition)

Find Dimensions to Maximize the Volume of the Right Circular Cylinder 4-5-19 (15^th Edition)

Find Dimensions to Minimize Cost of Construction of Silo 4-5-23 (15^th Edition)

Find Dimensions to Minimize Total Area of Wire in a Circle or Square 4-5-32 (15^th Edition)

Newton’s Method 4-6-1 (15^th Edition)

Newton’s Method 4-6-4 (15^th Edition)

4-6-15T screen shot, not a video (15^th Edition)

Newton’s Method 4-6-16T (15^th Edition)

Newton’s Method 4-6-15T (15^th Edition)

At What Value of x Does cosx=8x 4-6-21T (15^th Edition)

Intermediate Value Theorem 4-6-25T (15^th Edition)

Antiderivatives 4-7-7 (15^th Edition)

Indefinite Integral 4-7-31 (15^th Edition)

Most General Antiderivative or Indefinite Integral 4-7-33 (15^th Edition)

Find the Function Satisfying …4-7-71 (15^th Edition)

Solve the Initial Value Problem 4-7-89 (15^th Edition)

Find Curve in the xy-plane That Passes Through a Point and Has a Slope at that Point 4-7-91 (15^th Edition)

Solution Curves of the Differential Equation 4-7-99 (15^th Edition)

Find the Constant Deceleration Required for Driver to Stop in Time 4-7-105 (15^th Edition)