Day 19 in Mat121

Today:

• Return quiz 4
  • Definition! First of all, you've got to know the definition!
  • composition
  • common denominator
  • cancellation
  • passing to a limit (remember limits?)
  • get the answer right (did you check your calculator?)
  • Key:
    • LD - limit dropper
    • PD - parenthesis dropper
    • CD - common denominator
    • DA - death by algebra (e.g. incorrect cancellation)
    • QR, PR - quotient or product rule user....
  • f(x+h) is not equal to f(x)+h! What if?
  • Part 2: f'(x) is not 1, or any constant -- why not?

• directed reading handout, Section 3.7 (html) (pdf)

• Don't forget: exam 2 next week, Thursday, over derivatives (through 3.7).

• Sections 3.5: Higher Derivatives
  • Derivative puzzles

• Section 3.6: Trigonometric Derivatives
  • Second derivatives of sine (graphically)
  • Derivative of cosine from the definition, and trig identities
  • Problems:
    • #23, p. 145
    • #47, p. 146

• What problems shall we look at? If you don't have some, I'll make some proposals from section 3.4:
  • #30, p. 135
  • #32, p. 135
  • #46, p. 136