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.

RC: “Jump or other discontinuity” – really like the intuitive idea of lifting up the pencil – for hiking this could be an impediment that makes you leave the trail and go around (landslide, avalanche, trail maintenance, whereas visually the sketched crevasse actually does have a bottom — which some mountainclimbers who aren’t doomed actually crawl out of.)YB: I think this is fine: a discontinuity can be a jump like what’ve drawn, it doesn’t have to have no bottom.

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

RC: Extreme values on flat trails? This is a bit of a stretch for me when preceded by the more intuitive “extreme values” of peak and valley.YB: Yup, but that’s the reality of it.

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

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

RC: Mountaintops (p126) could be confused with corner solutions on pg 106? Could make it so you use a tangent line to illustrate slope of zero in flat parts? (e.g. 109)YB: I’m not quite sure what you’re suggesting here, so at the moment I think it’s okay as-is.

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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