Derivative of an Exponential Function
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This example demonstrates the calculation and graph transformation of the derivative of an exponential function. Key math concepts include exponential functions, derivatives, limits, and function graphs. GeoGebra commands/objects used: a (variable/parameter), f (function), g (function), b (point), h (point), p (point), text1 (text). Suitable for high school mathematics teaching and introductory calculus learners.
GeoGebra Commands & Parameters
Numeric a(2.3)f(x) = a^(x)g(x) = (f'(0) * x) + 1f'(0)h(x) = 2^(x)p(x) = 3^(x)