Constructing a Derivative
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This example demonstrates how to construct the derivative of a function using dynamic geometry methods. It involves core mathematical concepts such as derivatives in calculus, polynomial functions, properties of plane figures, and inequalities. Key construction steps include using GeoGebra commands like Corner, Sequence, Textfield, If, and objects such as f, n, A, B, delta_x, list0, list2, n_{old}, w, f', list1, linewidth, inputBox1, inputBox2, togPrime, text1. Suitable for high school and above students learning calculus and function graphs.
GeoGebra Commands & Parameters
Corner(1) → ACorner(3) → BSequence(x(A) + (i * delta_x), i, 1, n) → list0Sequence((Element[list0, i], f(Element[list0, i])), i, 1, n) → list2Sequence(x = Element[list0, i], i, 1, n) → list1Textfield(n) → inputBox1Textfield(f) → inputBox2If(togPrime ≟ 1, "Show derivative.", "Hide derivative.") → text1