finite and infinite/continuous growth rate (natural exp. Euler’s Number)
when to use which
Simple -> complicate (easy -> difficult)
Addition and subtraction are easier than multiplication and division.
- exp and log can help transform multiplication and division into an addition problem. Rate of change -> subtraction of log
- log can scale down huge / super small numbers into numbers we can easily calculate.
- lower dimensions from 3D – > 2D, or lower power of polynomials.
Divide and conquer: Parent functions -> general function formats via transformations
General to specific: local studies (restricted domains in trig and calculus)