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596.C4.2 Derivative of a Complex Function: The Amplitwist
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Geogebra tool for derivatives of complex functions:
0:00 Introduction
1:11 Derivative operates on tangent vectors ("directions") not points
4:50 "The derivative is a matrix"
7:22 Derivative of a complex function
9:08 Derivative is a ratio of tangent vectors
10:20 Visualizing the derivative of f(z) = z²
13:44 Multiplying both amplifies and twists
15:57 Summary of the "amplitwist" effect
18:29 Wrapup
0:00 Introduction
1:11 Derivative operates on tangent vectors ("directions") not points
4:50 "The derivative is a matrix"
7:22 Derivative of a complex function
9:08 Derivative is a ratio of tangent vectors
10:20 Visualizing the derivative of f(z) = z²
13:44 Multiplying both amplifies and twists
15:57 Summary of the "amplitwist" effect
18:29 Wrapup
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