Unit 2, Day 5

Agenda

1. Number talk: Would You Rather — expand $(x^2+1{)}^{100}$ by hand, or find a better way?
2. Random groups: machines feeding machines — differentiate $(x^2+1{)}^2$ and $(x^2+1{)}^3$ with the product rule, then hunt the pattern
3. Consolidate: The Chain Rule — outside derivative times inside derivative, and why your pattern forced it
4. Practise: Chain Rule Practice

Things to do before our next class

• Journal: invent a function with three layers, then take its derivative apart layer by layer.