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

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