This calculus video tutorial explains how to sketch the derivatives of the parent function using the graph f(x). This video contains plenty of examples and practice problems.

Here is a list of topics:

1. Sketching Derivatives of Parent Functions

2. Quadratic Function / Parabola f(x) = x^2

3. Linear Functions 2x

4. Cubic Functions x^3

5. Trigonometric Functions – Sine and Cosine – sin(x) and cos(x)

6. Increasing and Decreasing Functions

7. Relative Extrema of a Function and the Derivative f’

8. Graphing The First and Second Derivative of a Function

9. Local Maximum and Minimum Calculus

10. Critical Points and Inflection Points

11. Relative Maximum and Minimium of Using the First Derivative Graph

12. Critical Points and Extrema – Calculus

13. Concavity, Inflection Points on Graph of f'(x) – First Derivative

14. Identifying the Horizontal Tangent Lines