The Difference Quotient
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This example demonstrates the definition of the derivative by dragging point Q to make h approach zero. Key concepts include limits, derivatives, and function continuity. Construction involves using GeoGebra commands like Point, Line, Segment, and Slope to create function graphs and points. Suitable for high school students learning calculus fundamentals or for math teaching demonstrations.
GeoGebra Commands & Parameters
Point(f) → PPoint(f) → QLine(P, Q) → aSegment(P, C) → hSegment(Q, C) → cTextfield(f) → InputBox1Point(c) → FPoint(h) → GSlope(a) → bLine(P, Q) → g