Complex Analysis/Exercises/Sheet 2/Exercise 4: Revision history

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14 January 2025

  • curprev 12:5312:53, 14 January 2025 imported>Eshaa2024 5,711 bytes +5,711 New resource with "====Problem (Chain Rule, 5 Points)==== Let <math>f, g \colon \mathbf C \to \mathbf C</math> be continuously differentiable functions. Prove that <center><math> \frac{\partial}{\partial z} (f \circ g) = \frac{\partial f}{\partial z} \circ g \cdot \frac{\partial g}{\partial z} + \frac{\partial f}{\partial \bar z} \circ g \cdot \frac{\partial \bar g}{\partial z} </math></center> and <center><math> \frac{\partial}{\partial \bar z} (f \circ g) = \..."
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