What Information do f’ and f’’ give?

Today you will describe the shape of a curve given

information about the first and second derivative for a

particular interval and a particular point.

Radio Daze

Help Avantika!• Avantika badly

needs your team’s help with this. A picture is worth a thousand words, so a labeled sketch will be very helpful. Since Avantika will have to tell Ima the answer verbally, your team needs to describe the sketch in words as well.

You must describe a small portion of the function, including the coordinates of a key point. You must also describe something interesting about the graph at this point.

Second Round

• Avantika is really stumped. Can your team come to her rescue

again?

Creating the Hints:

Write hints for these graphs

Write hints for these graphs

Write hints for these graphs

Write hints for these graphs

MORE FUNKY FUNCTIONS

MORE FUNKY FUNCTIONS CONTINUED

MORE FUNKY FUNCTIONS (CONTINUED)

Closure

• Look back at your work for maximizing the boxes from yesterday.

• Can you verify that the first and second derivative of V(t) would indeed verify a maximum volume?

Assignment

HW P(Due Friday)

Individual Test: Slope & Curve

Analysis Tomorrow!