Why the chain rule actually works in calculus
In short: Understanding the derivative of a composite function is a cornerstone of calculus. This video moves beyond memorization to explore the formal mathematical properties that make the chain rule true.
The lesson focuses on the formal properties of continuity and differentiability to provide a rigorous proof for the chain rule. Rather than simply showing how to apply the formula, it explains the underlying logic required for AP Calculus AB students to understand why these rules function as they do.
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Sources
- Summary by Intellect · source: Chain rule proof | Derivative rules | AP Calculus AB | Khan Academy
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