Joy Over Time
Graphing someone's happiness over time: a positive derivative, a negative derivative, and finally a decline that's slowing down, which counts as good news (a positive second derivative).
Transcript
[1] [Graph of JOY vs. TIME, rising] "See? Positive derivative. You're growing happier." "Graphs have that effect on me!"
[2] [JOY falling] "Hmm. Negative derivative." "Fix it! Tell me a joke!"
[3] [JOY falling, faster then slower; labeled "faster decrease," "slower decrease"] "Um… the graph says your happiness is still declining…" "Yes – but more slowly!"
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2019-10-08-joy-over-time/ (CC BY-NC 4.0)