Function and Its Derivative Trace
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This example allows users to input a custom function. A tangent line is shown at a given point, and the slope of the tangent line is traced. This example helps to understand the relationship between a function and its derivative. Key mathematical concepts include functions, derivatives, and tangents. GeoGebra commands used include Tangent, Slope, Textfield, Derivative, and LaTeX. Suitable for high school and above students learning calculus.
GeoGebra Commands & Parameters
Tangent(P, f) → tSlope(t) → slope_tTextfield(f) → InputBox1Derivative(f) → f'LaTeX(f', true, true) → txtDeriv