e, Natural Logarithm, and Their Derivatives
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This example illustrates the mathematical constant e, natural logarithm, and their derivatives. By plotting the functions f(x) = e^x and g(x) = ln(x), and showing their derivatives f'(x) and g'(x), it helps to understand the basic concept of derivatives. The construction summary mentions the use of GeoGebra commands: objects f, g, g', f', h. Suitable for high school mathematics education and learning derivative concepts.
GeoGebra Commands & Parameters
f(x) = log(x)g(x) = ℯ^(x)g'(x) = g'(x)f'(x) = f'(x)h(x) = f(g(x))