# List of Figures

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Lesson Summary:

A list of figures for Calculus in 5 Hours

Lesson:

### Chapter 1 - Functions

- Building Height Function
- Labeling a Function
- Graph of $f(x)=x^2$ Showing It Has Only One

Value of $y$ for Every Value of $x$ - Graph of $f(x)=\sqrt{x}$ Showing It Is Not a Function
- Function $f(x)=x^2$
- Function $f(x)=x^3$
- Function $f(x)=-\sqrt{x}$
- Function $f(x)=\sin(x)$
- Function $f(x)=\left\{\begin{array}{ll}x^2,&x\geq 2\\x^3,&x\lt -3\end{array}\right.$

### Chapter 2 - Straight Lines and Polynomials

### Chapter 4 - The Two Basic Concepts of Calculus

### Chapter 5 - Understanding Derivatives

### Chapter 7 - The Tangent Line

### Chapter 13 - Attaching Real World Meaning to Derivatives

### Chapter 14 - Second Derivatives

- The Change in Positive Slope When the Second Derivative is Positive
- The Change in Positive Slope When the Second Derivative is Negative
- The Change in Negative Slope When the Second Derivative is Positive
- The Change in Negative Slope When the Second Derivative is Negative

### Chapter 15 - The Mean-Value Theorem

### Chapter 16 - Increasing and Decreasing Functions

- Definition of an Increasing Function
- Definition of an Decreasing Function
- Function That is Both Increasing and Decreasing

### Chapter 17 - Using Derivatives to Find Where a Function Increases and Decreases

- Increasing Straight Line Slope
- Decreasing Straight Line Slope
- Increasing Function With Increasing Secant Line
- Increasing and Decreasing Function With Increasing Secant Line
- Derivative of Increasing Function
- Comparison of Slope and Secant Line of Increasing and Decreasing Function

### Chapter 18 - Critical Points

### Chapter 19 - Maxima and Minima

### Chapter 20 - The Relationship Between Maxima, Minima, and Critical Points

- Critical Point, Maximum, and Slope
- Critical Point, Minimum, and Slope
- $f(x)=x^3$ Where the Critical Point is Neither a Maximum nor a Minimum

### Chapter 21 - Using Derivatives to Find Maxima and Minima

- Using the First and Second Derivative Tests to Find a Maximum
- Using the First and Second Derivative Tests to Find a Minimum

### Chapter 22 - Concavity

### Chapter 24 - Inflection Points

### Chapter 25 - Understanding Integrals

### Chapter 28 - Rules of Integrals

### Chapter 29 - Negative Integrals

- Negative Integral Because of Negative Function
- Function With Positive and Negative Integral Areas
- Negative Integral Because of Switched Limits

of Integration