Day 30 in Mat121

Today:

• Don't forget that our third exam is this Thursday (through 4.4)....

• Return quiz

• Section 4.2: Extrema
  • Examples:
    • (see Galloping Gertie)

  • Questions over the Directed reading handout, Section 4.2 (html) (pdf)?

• Section 4.3:
  • Mean Value Theorem:

    

    Notice that Rolle's theorem is a special case (or corollary) of the Mean Value Theorem, yet the MVT is proven via Rolle's theorem!

  • First Derivative Test:

    

    What if the sign doesn't change?

  • Examples:

  • Questions over the Directed reading handout, Section 4.3 (html) (pdf)?

• Great calculus demos