Category: Derivatives

Directional derivatives – something new again?

Calculating directional derivatives as a subject to be covered (i.e. to be passed) is actually right after partial derivatives of functions of many variables, which most students cover in the second semester.

However, this is a topic rarely taken up that I did not include it in my Partial Derivatives Course and often enough that I will post it on the blog – for the benefit of those who need to learn directional derivatives and those who are simply curious about what’s up. However, I would like to point out that, as in the Courses, I will focus today almost exclusively on practice (“how do I do it?”) and not on theory (“what am I actually doing?”).

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Horizontal and oblique asymptotes of functions

The relationship between horizontal and oblique asymptotes is as follows: horizontal asymptotes are special oblique asymptotes. Therefore, every horizontal asymptote is an oblique asymptote, but not every oblique is horizontal.

This can and should be used to shorten the counting of function asymptotes.

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