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Quantum Engineering Year 0: Mathematical Foundations Month 1Day 10

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Year 0·Month 1·Week 2

Day 10: The Chain Rule — Compositions of Functions

Day 10 of 2,016~7 min read

Learning Objectives

•State and understand the chain rule
•Identify the "outer" and "inner" functions in a composition
•Apply the chain rule to complex compositions
•Combine the chain rule with other differentiation rules
•Use Leibniz notation for chain rule problems

Today's Schedule (7 hours)

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On this page

1 Motivation Why We Need the Chain Rule 2 Composition of Functions Review 3 The Chain Rule 4 Proof Sketch 5 The General Power Rule Chain Rule Strategy Step-by-Step Method Recognition Patterns

Day 9Day 10 of 2,016Day 11