Cartoon Calculus: Ch 6 (Limits and derivatives)

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 69: Part Two (introductory page)

Page 71: Do you know how fast you were going?

Pages 72-73: In Chapter 2, we encountered… // We can now solve this problem using limits…

RC: Speed and velocity, fairly well defined already. YB: Yup, it’s just a refresher.

Pages 74-75: In Chapter 2, we also encountered… // Limits can solve this problem too.

Pages 76-77: This basic formula is called the derivative… // Derivatives get their name because…

ME: a comma after Dee for a pause, “DEE, DEE X OF EFF OF X” might make it easier to read. YB: I see your point but I think it’s too confusing.

RC: Nice pronunciation tip: “You can say it out loud as….” YB: Thanks!

RC: Analogies are nice. It’s great that the function is actually illustrated as sloped to reinforce that. YB: Thanks!

Pages 78-79: For a simple example… // Next, let’s calculate…

WM: Page 78 – do you want a character thinking “h only approaches 0- it never equals 0 exactly, so we are never dividing 0 by 0″. Might be overkill. YB: If we have space I think this is a great idea! I’m not sure how to do this, but I’ve suggested a couple of options to Grady.

Pages 80-81: There’s also some nice intuition… // In physics, for example…

MB: Define ~, the “approximately equal” symbol. YB: I think this is clear from context.

Page 82: Approximations and intuition…

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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