Cartoon Calculus: Ch 2 (Speed)

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 15: I have this dream…

Page 16-17: Nothing seems simpler than speed… // …but what exactly does speed measure?

Pages 18-19: The most obvious interpretation of 60 miles an hour… // We can try to zero in on the answer…

MB: On p. 18 and following you are using speed to illustrate the instantaneous nature of the derivative. You should add, though, that if speed is constant then indeed x = vt, because on p. 22 and thereafter you again use speed as the (constant) slope of x vs t.

Pages 20-21: The truth is that saying what speed is not… // Trying to figure it all out…

Pages 22-23: Consider a car moving at a constant speed. // In those examples, the slope doesn’t change…

Pages 24-25: An apple thrown straight up in the air… // …and we can see those speed changes…

Pages 26-27: We can try to zero in on the answer… // The more we zero in…

Page 28: This similarity shouldn’t be surprising…

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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