The Derivative

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Taught by Houston
  • Currently 5.0/5 Stars.
4359 views | 2 ratings
Meets NCTM Standards:
Lesson Description:

Slope of the tangent line; definition of the derivative. Differentiability and non-differentiability at a point.

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at

Additional Resources:
Questions answered by this video:
  • What is a derivative?
  • How do you find the slope of a curve?
  • How do you find the slope of a tangent line at a point on a curve?
  • What is the definition of a derivative?
  • What does the graph of the derivative function look like?
  • How do you find a derivative using the formal definition of a derivative?
  • What is a corner point?
  • What is a cusp?
  • When is a function non-differentiable?
  • How do you sketch the graph of f'(x)?
  • Staff Review

    • Currently 5.0/5 Stars.
    This video explains what a derivative is carefully and precisely. Math terms are used, which can at times make this video difficult for a beginning Calculus student to follow. However, this video is very accurate and a good, complete explanation of a derivative. A very cool animation is included, which really brings home the idea of the graph of the derivative of a function.