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The derivative of a function is the measure of how quickly the function changes in a particular direction. It can be found by drawing a graph and calculating the change in y-coordinates. The derivative is important for solving problems involving curves.

**00:00:00**In this video, a brief history of derivatives is given, and the definition is explained. Mathematically, the derivative is a measure of how quickly a function changes in a particular direction. It is important for solving problems involving curves, and can be found by drawing a graph and calculating the change in y-coordinates.**00:05:00**In this video, the derivative of a function is explained by drawing a graph and finding the slope of the line. To find the derivative, one needs to find the equation of a line that passes through two points. The slope of a line is represented by m.**00:10:00**The derivative is a way to measure how a function changes over time. It is the slope of a line that is drawn tangent to a graph at a given point.

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