daviddoji/CalculusWithJuliaNotes.jl
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make pdf file generation work

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jverzani
2022-10-10 14:28:05 -04:00
parent a0b913eed8
commit a9ca131870
59 changed files with 884 additions and 1330 deletions
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5
quarto/derivatives/implicit_differentiation.qmd
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@@ -902,9 +902,12 @@ imgfile = "figures/fcarc-may2016-fig35-350.gif"
caption = """
Image number 35 from L'Hospitals calculus book (the first). Given a description of the curve, identify the point ``E`` which maximizes the height.
"""
ImageFile(:derivatives, imgfile, caption)
#ImageFile(:derivatives, imgfile, caption)
nothing
```
![Image number 35 from L'Hospitals calculus book (the first). Given a description of the curve, identify the point ``E`` which maximizes the height.](figures/fcarc-may2016-fig35-350.png)
The figure above shows a problem appearing in L'Hospital's first calculus book. Given a function defined implicitly by $x^3 + y^3 = axy$ (with $AP=x$, $AM=y$ and $AB=a$) find the point $E$ that maximizes the height. In the [AMS feature column](http://www.ams.org/samplings/feature-column/fc-2016-05) this problem is illustrated and solved in the historical manner, with the comment that the concept of implicit differentiation wouldn't have occurred to L'Hospital.