Lesson Objective

Students will apply derivatives of exponential functions to real-world examples, such as population growth, compound interest, and radioactive decay.

1. What are some real-life examples of exponential growth? Exponential decay?
2. How is compound interest different from simple interest?

- exponential growth
- exponential decay
- relative growth rate
- half-life

(Differentiation Rules)

Exponential Growth/Decay:
DOK levels 1-4

population growth, continuously compounded interest, radioactive decay, ...

- students often struggle with the difference between growth rate and relative growth rate

Homogeneous grouping and whole-class discussion

section assessment

Problems assigned from book