Day 20 in Mat120

Last time: Section 3.3: the rules of differentiation are straightforward applications of the definition of the derivative as a limit (maybe a trick or two is required!).

Today: Derivatives of trig functions

Distribute Section 3.8 Worksheet
Roll
Return test 1
- Mean: 75.1
- Standard Deviation: 11.3
Quiz Opportunity (section 3.5)
Problems 3.2 collection opportunity.
Questions on old stuff?
- Derivatives of Polynomials come right out of the power rule (which we get from the product rule), constant multiple rule, and the sum rule
- Rational functions then come out of the quotient rule ("lo dee hi minus hi dee lo, over the denominator square they go!")
Section 3.5:
- worksheet study questions
- section summary
- Proof for sine
  (using the definition of the derivative, and the differentiation rules, plus a little geometry....)
  If we've got the derivative of sine, then we've got all the others!

Next time: Applications of derivatives

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