11/28

I'm going to review some simple but important things we have learned so far:

Derivatives

1. Constant rule: constants = 0 f = 3 f'= 0
2. Power rule: exponent at front raised to exponent-1 f=x^3 f'=3x^2
3. Product rule: first x f'second + second x f'first
4. Quotient rule: bottom f'top - [top (f'bottom)]
5. Chain rule: f'outside recopy inside x f'inside
6. Natural Logs: 1 / recopy x f'bottom

Limits at Infinity

1. top > bottom = infinity
2. top = bottom = fraction
3. top < bottom = 0

Extrema
1. points that are positive are maxes
2. negative points are mins (bottom of curve)
3. points of inflection are where the concavity changes