Derivatives of Logarithmic Functions
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GeoGebra dynamic worksheet to investigate derivatives of Logarithmic Functions. Demonstrates the relationship between logarithmic functions and their derivatives, involving core concepts like derivatives, function graphs, and tangent lines. Constructed using GeoGebra commands: a, f, f', k, text1, text2, g, g', h. Suitable for high school mathematics teaching and learning research on function derivatives.
GeoGebra Commands & Parameters
Numeric a(1.35)f(x) = log(x)f'(x) = f'(x)Numeric k(3.4)g(x) = log(a, x)g'(x) = g'(x)h(x) = k / x
AI Drawing Prompt Reference
Draw a dynamic graph of a logarithmic function and its derivative to demonstrate the relationship between the logarithmic function and its derivative. First, plot a logarithmic function and its derivative curve, then add a logarithmic function with a specific base and its derivative, and finally include a function that is a constant divided by the variable. Use these graphs and curves to visually express the geometric meaning of derivatives and original functions.
The prompt above was compiled from the original drawing commands and is for reference only.