6. The Chain Rule

Use the chain rule to differentiate composite functions, including nested powers, radicals, and trigonometric expressions. Combine the chain rule with product and quotient rules in more complicated derivatives.

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Lecture Video

The Chain Rule

Proof

Optional: see why this derivative rule works rather than only memorizing the formula.

Proof of the Chain Rule

Additional Examples

Extra Examples of Derivatives using the Chain Rule

Extra Examples of using the Chain Rule within the Chain Rule

Power, Product, Quotient, Chain Rule with Trig Functions

Assignment Answer Key

More Chain Rule

Assignment Answer Key

Even More Chain Rule

Assignment Answer Key

The Chain Rule Practice