- Exams returned
- The exam
- The key
- Algebra mistakes were killer for some of you.
- I have a policy of giving back points missed, if a student will only come in and see me, to discuss their errors on the exam. I'll give back 40% of your missed points if you'll come in. Make an appointment, or stop by
- I'll give you until tomorrow to hand in pp. 137, #52-54 (due Thursday, 2/18); do you have any questions?
- New assignment:
Mon 2/22 Section 3.5 - Read 3.6 and 3.7
- Problems to hand in: pp. 141-, #39-44 (due Mon, 3/1)
Note on homework problem #40, p. 141: remove the label "Distance" from the graph, then answer the question.
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- "Little fleas have littler fleas upon their backs to bite em / and littler fleas have littler fleas / and so ad infinitum."
- Functions that are differentiable have derivative functions, that are functions and may be differentiable and hence have derivative functions, and so ad infinitum.
- There's nothing especially novel about the calculation of higher
derivatives.
- Using the calculator to compute higher derivative
- They do provide something new in the way of interpretation of the
behavior of a curve.
- Degree one polynomials have zero second derivatives.
- Non-zero second derivatives give us concavity, and inflection
- What happens when the second derivative
- is zero?
- is positive?
- is negative?
- changes from negative to positive?
- changes from positive to negative?
- An important case: the quadratic
- The quadratic gives us total insight into the cases of bowls and umbrellas.
- A good test of your understanding of bowls versus umbrellas
- Galileo and the second derivative of the position function
- #33, p. 141
- #35, p. 141
- #36, p. 141
- #37, p. 141