---
title: "Chain rule mathematical notation"
description: "Chain rule is a recurring research-paper notation family. Propagates derivatives through a composition by multiplying the local derivative along each…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/chain-rule"
md_url: "https://fanout.sh/labs/math-decoder/symbol/chain-rule.md"
last_updated: "2026-08-09"
access: "public"
---

# Chain rule mathematical notation

Chain rule is a recurring research-paper notation family. Propagates derivatives through a composition by multiplying the local derivative along each…

## Public overview

Chain rule is a recurring research-paper notation family. Propagates derivatives through a composition by multiplying the local derivative along each dependency path.

Chain rule: Propagates derivatives through a composition by multiplying the local derivative along each dependency path. Example: Measure the outer sensitivity and multiply by how the inner value changes.

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