Week 6 Calculus I Outline of Notes

by S. Gramlich

(updated 10/23/06)

I) 3.1 & 3.2 Derivative Formulas, p. 197

2.9 Review Notation, p. 169

3.1 Constant f'=0

Power-Constant Multiple Rules f'=c*n*X^(n-1)

Sum (f+g)'=f'+g'

Difference (f-g)'=f'-g'

Natural Exponential f'=e^x

3.2 Product (fg)'=fg'+gf'

Quotient (f/g)'=(gf'-fg')/g^2

Examples 3.1 p. 191, #6,4,10,12

Equation of Tangent line #40

Horizontal Tangents #46

3.2 p. 197, #4,24

II) 3.4 Trigonometric Derivatives, p.214

Examples p.216, #12, 26