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Derivative (calculus) (view source)
Revision as of 23:02, September 8, 2020
, 23:02, September 8, 2020People like when mathematical ideas are practical in their daily lives, so here's a good example.
Derivatives are also useful in [[physics]], under the "rate of change" concept. For example, [[acceleration]] is the derivative of [[velocity]] with respect to time, and velocity is the derivative of [[distance]] with respect to time.
Derivatives are also useful in [[physics]], under the "rate of change" concept. For example, [[acceleration]] is the derivative of [[velocity]] with respect to time, and velocity is the derivative of [[distance]] with respect to time.
The hypothetical "theorem of the mean policeman"<ref>https://vimeo.com/101691769</ref>, which uses the [[mean value theorum]] to catch a motorist speeding, has been implemented in practice<ref>https://divisbyzero.com/2008/10/22/e-z-pass-speeding-tickets-and-the-mean-value-theorem</ref>.
Another important application of derivatives is in the [[Taylor series]] of a function, a way of writing certain functions like <math>e^x</math> as a power series.
Another important application of derivatives is in the [[Taylor series]] of a function, a way of writing certain functions like <math>e^x</math> as a power series.