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Episode 6 and 7: In Search of the Derivative
Running times: 23 and 27 minutes
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In this applications-oriented show, Josh plays the student. Part I begins
with Josh's visit to a mathematician, followed by an explosive stop in a
chemist's lab. In Part 2 he continues his search for realworld applications,
making field visits with a geologist who examines radioactive decay and
an economist who looks at the problems associated with selecting insurance
for a bike messenger.
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Mathematical
Content: In this video, various scientists show Josh how the derivative is used
in their respective fields. In Part 1, a mathematician reviews the definition
of the derivative and its use in analyzing shapes of curves, and a chemist explains
that reaction rates of chemical reactions are derivatives. In Part 2, a geologist
talks about exponential decay, and an economist explains marginal cost.
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