Phase 2 · Math & Statistics for AI

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Chain Rule

Part of the AI Engineer Roadmap.

Summary

The calculus rule for differentiating composed functions — the exact mathematical mechanism behind backpropagation in neural networks.

How to Learn This

  • 1Practice the chain rule on nested functions by hand.
  • 2Trace a tiny 2-layer neural network's backward pass and identify each chain-rule step.
  • 3Understand why backpropagation is 'just' repeated application of the chain rule.
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