List of Figures
Primary tabs
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
![Adding Adjacent Areas:\[\int_a^cf(x)\,dx+\int_c^bf(x)\,dx=\int_a^bf(x)\,dx\]](/sites/default/files/node_31784_summation_of_integrals.jpg){kind=link}
