Phase 2 · Math & Statistics for AI

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Calculus Basics (Derivatives, Gradients)

Part of the AI Engineer Roadmap.

Summary

Derivatives measure how a function's output changes as its input changes — the mechanism every model uses to learn by adjusting weights to reduce error.

How to Learn This

  • 1Refresh derivative rules (power, product, quotient) with practice problems.
  • 2Learn what a gradient is: the vector of partial derivatives pointing toward steepest increase.
  • 3Connect derivatives to the intuition of 'which direction reduces the loss.'
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