Graph the derivative using the slope of the tangent line
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This example demonstrates how to graph the derivative of a function using the slope of the tangent line. Key math concepts involved include the definition of the derivative, slope of a tangent line, and the relationship between function graphs. Construction highlights involve using GeoGebra commands and objects like Tangent, Slope, and Textfield to dynamically calculate and display the slope at various points, updating the derivative graph in real-time. Suitable for high school and above students learning calculus to visually understand the geometric meaning of derivatives.
GeoGebra Commands & Parameters
Tangent(a, f) → tSlope(t) → sTextfield(f) → InputBox1