Investigating Derivatives of y = a^x

Investigating Derivatives of y = a^x
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2018-12-14 05:20
This example demonstrates the effect of varying the base 'a' on the function y = a^x and its derivative graph. Key math concepts include exponential functions, derivatives, rates of change, and limits. GeoGebra commands used: a (parameter), f (function), text1 (text), g (function), text2 (text), text3 (text), text4 (text). Suitable for high school students and above to learn and understand the properties of derivatives of exponential functions, ideal for classroom instruction or self-exploration.

GeoGebra Commands & Parameters

  1. Numeric a(1.3)
  2. f(x) = a^(x)
  3. g(x) = (log(a) * a^(x))