Exercises: Graph the derivative

Practice visualizing and making conjectures about the derivative with the following exercises.

1. For the function drawn below:

• Approximately where (i.e., for which values of x) is the derivative equal to 0?
• Approximately where (i.e., for what intervals of x) is the derivative positive? Negative?
  

2. For the functions drawn below, graph what you think the derivatives look like.

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Lesson 1: The Basics

1. What is Calculus?
2. Write neatly
3. Exercises: Compute expressions
4. Graphing lines and calculating slope
5. Exercises: Find equations of lines and calculate slope
6. Why is the slope important in Calculus?
7. Exercises: Graph the derivative 📝
8. Simplifying rational expressions
9. Exercises: Simplifying rational expressions
10. Simplifying logarithmic expressions
11. Exercises: Simplifying logarithmic expressions
12. Trig basics and the unit circle
13. Exercises: Find sine, cosine, and tangent

Lesson 2: Solving equations and inequalities

Lesson 3: Graphing

Lesson 4: Limits and series