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What Information do f’ and f’’ give?

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 !.

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What Information do f’ and f’’ give?

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  1. 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.

  2. Radio Daze

  3. 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.

  4. Second Round • Avantika is really stumped. Can your team come to her rescue again?

  5. Creating the Hints:

  6. Write hints for these graphs

  7. Write hints for these graphs

  8. Write hints for these graphs

  9. Write hints for these graphs

  10. MORE FUNKY FUNCTIONS

  11. MORE FUNKY FUNCTIONS CONTINUED

  12. MORE FUNKY FUNCTIONS (CONTINUED)

  13. 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?

  14. Assignment HW P (Due Friday) Individual Test: Slope & Curve Analysis Tomorrow!

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