Calculus › Section C · Derivatives › Topic C.4
The chain rule
Most functions you meet in practice are built by putting one function inside another. The chain rule is how you differentiate them, and it rests on one idea: rates of change multiply.
In this topic
- Functions inside functions
- Rates multiply
- The rule in function notation
- Worked example: a power of a binomial
- The general power rule
- Trigonometric and exponential chains
- Chains with more than two links
- Combining with the product rule
- Worked example: a cooling cup of coffee
- Common mistakes to avoid
- Key takeaways
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Standards: 3