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Section 2.7 part a: Taylor's expansion for a function of one variable
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Here we recap Taylor's expansion for a function of a single variable, introducing the differential operator "D". This sets us up for the next video, where we find that the Taylor expansion for a function of two variables can be written similarly, but with a different expression for "D".
00:00 - Intro and examples of Maclaurin's expansion.
03:53 - Taylor's expansion for a single variable function.
06:40 - Stationary points for a function of a single variable: minima, maxima and inflection points.
15:18 - Taylor's expansion rewritten in terms of the differential operator "D" (which we'll build on next time when we consider Taylor's expansion for multivariable functions)
00:00 - Intro and examples of Maclaurin's expansion.
03:53 - Taylor's expansion for a single variable function.
06:40 - Stationary points for a function of a single variable: minima, maxima and inflection points.
15:18 - Taylor's expansion rewritten in terms of the differential operator "D" (which we'll build on next time when we consider Taylor's expansion for multivariable functions)