Simple Derivative Exploration
- Michael Andrejkovics
Simple construction showing how we find the derivative by looking at the slopes of secant on smaller and smaller intervals
Play around with dragging the point "X" around and see how the tangent to the curve behaves as you move through different parts of the graph. Remember, the derivative is the SLOPE of that tangent line. Think about how the derivative behaves when the function itself is increasing, decreasing, or reaching a maximum or minimum point.