- Interpret derivatives as slopes and rates of change
- estimate derivatives of functions given by tables of values
- graph derivatives of functions that are defined graphically
- use definition of a derivative to calculate the derivatives of functions defined by formulas.
3.1 Derivatives of polynomials and exponential functions
3.2 The Product and Quotient Rules
3.3. Derivatives of Trig Functions
Prove: derivatives of sin x, cos x, and tan x.
3.4 The Chain Rule (proof P202)
9/28 1 p201
3.5 Implicit Differentiation (inverse functions)
3.6 Derivatives of Log functions
9/28 2 p215
9/28 3 p217
3.7 Rates of change in the natural and social sciences
3.8 Exponential growth and decay
3.9 Related Rates
3.10 Linear Approximations and Differentials
3.11 Hyperbolic functions
P201
P208
P210
