Calculus · Week 10 · Differentiation: Composite, Implicit, and Inverse Functions
The Chain Rule
Taking derivatives of functions inside functions, one layer at a time, without skipping steps.
- Students will
- Students use the chain rule to find derivatives of composite functions and a derivative value.
- SEL skill
- Name the layers first and work one step at a time when a derivative looks crowded
- What it looks like
- Students practice self-management by working layer by layer when a problem looks crowded.
- Content focus
- Chain rule for composite functions
- Format
- Partner exchange
Self-management
Self-management means guiding your own focus and effort, like staying calm and working step by step when a problem looks crowded. More self-management activities
What you get
A teacher guide with what to say, step by step, plus student pages and a supports page for students with diverse learning needs, including those with IEPs. Print or Project it, or assign it in Google Forms and Google Docs for Google Classroom. Your first 10 activities are free.
Standards
- AB 3.1: AP Calculus AB, Unit 3, Topic 3.1
- Standard for Mathematical Practice: MP7 Look for and make use of structure
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More self-management activities for Calculus
- Getting Closer: Limits from Graphs and Tables Self-managementReading limits and one sided limits from tables and graphs, with a pause and check plan.
- Power Rule and Friends Self-managementFast derivative rules, with a pause and check routine that catches careless slips.
- L'Hospital's Rule Self-managementPausing to check the form, then persisting when a limit first gives 0/0.
- From Riemann Sums to the Definite Integral Self-managementWriting Riemann sums in summation notation, seeing the definite integral as a limit, and staying steady with new notation.
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RoseThread Connect activities are drafted with the help of AI and shaped by educators. Students never have to share anything personal. Our five SEL skills are informed by CASEL's SEL Framework; RoseThread Learning is not affiliated with or endorsed by CASEL. AP and Advanced Placement are trademarks of the College Board, which was not involved in making and does not endorse RoseThread Connect.