Derivative of an Inverse Function by jaredwarner4
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This worksheet introduces the concept of the derivative of an inverse function. By constructing the inverse function, students can understand the relationship between the inverse function and the original function, as well as the properties of their derivatives. Commands used include Invert, Point, etc. Suitable for high school mathematics education.
GeoGebra Commands & Parameters
Invert(f) → gPoint(f) → A
AI Drawing Prompt Reference
Draw the graph of a function and its inverse function, marking a point on the original function to illustrate the relationship between the original and inverse functions and the properties of their derivatives. Start by plotting the original function, then select a point on it, find the inverse function, and finally plot the inverse function on the same coordinate system.
The prompt above was compiled from the original drawing commands and is for reference only.