Cartoon Calculus: Ch 8 (Extreme values)

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

Page 95: Introductory page

Pages 96-97: Recall from page 24… // And because the apple stops…

WM: Page 97 – I would write out the f(2) calculation as “2 + 19.6*2+ 4.9*2^2=” just to make clear you are going back to the function def. from the previous page. YB: Not enough space I think.

Pages 98-99: Imagine that you’re taking a hike… // By analogy, imagine that you have a function…

Pages 100-101: On your hike… // Similarly, the extreme values of a function…

MB: p.100 Maxima and minima are pretty intuitive—maybe this discussion can be shortened to simply show, in a picture, that the location of these corresponds to places where derivative =0. (And hint at second derivative?) YB: Yes it would be great to get second derivatives in here somewhere, but I think we need to cover these details about maxima and minima, and the analogy between p100 and p101 is really pretty.

Pages 102-103: But on many hikes… // Similar, many functions have extreme values…

Pages 104-105: Okay, let’s summarize. // Calculus allows us to eliminate…

Page 106: In fact, calculus makes this process so simple…

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

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