Logarithmic Function and Tangent Line

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2019-08-30 16:05

Function Calculus Derivative

This example demonstrates the geometric properties of logarithmic functions and their tangents. Key mathematical concepts include logarithmic functions, tangents, and linear equations. Using GeoGebra commands such as Point, Mirror, Midpoint, Segment, and Distance, the construction of the logarithmic function graph and its tangent line is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

Point(f) → A
Mirror(A, h) → A'
Midpoint(A, A') → O
Segment(A', O) → i
Segment(O, A) → j
Distance(A', O) → distanceA'O
Distance(A, O) → distanceAO