This lesson on derivatives provides an introduction to the concept and definition of a derivative. The lesson begins with an explanation of the tangent line to a curve and how to approximate its slope using two points. As the points get closer and closer together, the approximation gets better and better, allowing for a more accurate representation of the tangent line. The lesson then moves on to using the idea of a limit to calculate the slope of the tangent line, ultimately leading to the definition of a derivative as the slope of the tangent line.
An introduction to the concept and definition of a derivative.
Questions answered by this video:
What is a derivative?
What is the formal definition of a derivative?
How do you estimate the slope of the tangent line to a curve at a point?
What does delta mean in Calculus?
What is delta x?
What does it mean to find a derivative?
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This lesson is a very basic and simple explanation of what a derivative is, explained using the slope of the tangent line to a curve at a point.