Derivative of f(x)=lnx

Derivative of f(x)=lnx
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2016-10-29 16:08
This example demonstrates the derivative of f(x)=lnx. The key mathematical concept is the derivative. Using the Tangent and Slope commands, the tangent line to the function f(x) at point P and its slope are constructed. Suitable for high school math education and learning the concept of derivatives.

GeoGebra Commands & Parameters

  1. Tangent(P, f) → h
  2. Slope(h) → m

AI Drawing Prompt Reference

Draw the graph of the function f(x)=lnx and mark a point P on the graph. Then, draw the tangent line to the function at point P and label it. Next, calculate and display the slope of the tangent line. This illustration demonstrates the derivative of the function f(x)=lnx, suitable for high school math education to help understand the concept of derivatives.
The prompt above was compiled from the original drawing commands and is for reference only.