Function Derivative Demonstration by Лев Игоревич
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This example demonstrates the derivative of a function at a specific point, which is the slope of the tangent line. The core mathematical concepts involved include derivatives, tangent lines, slopes, and function graphs. The construction highlights the use of GeoGebra commands/objects: Tangent (tangent line), Slope (slope), Textfield (text box), and Intersect (intersection point). It is suitable for high school students learning calculus to visually understand the geometric meaning of derivatives.
GeoGebra Commands & Parameters
Tangent(A, f) → gSlope(g) → mTextfield(f) → InputBox1Textfield(a) → InputBox2Intersect(f', h, (-4.2, -2.1)) → B