# The Derivative

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 http://online.math.uh.edu/HoustonACT/videocalculus/index.html.

• 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.