daviddoji/CalculusWithJuliaNotes.jl
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

make pdf file generation work

Browse Source
This commit is contained in:
jverzani
2022-10-10 14:28:05 -04:00
parent a0b913eed8
commit a9ca131870
59 changed files with 884 additions and 1330 deletions
Download Patch File Download Diff File Expand all files Collapse all files

12
quarto/derivatives/mean_value_theorem.qmd
View File

@@ -161,9 +161,15 @@ at a relative minimum, the tangent line is parallel to the
$x$-axis. This of course is true when the tangent line is well defined
by Fermat's observation.
"""
ImageFile(:derivatives, imgfile, caption)
# ImageFile(:derivatives, imgfile, caption)
nothing
```
![Image number $32$ from L'Hopitals calculus book (the first) showing that
at a relative minimum, the tangent line is parallel to the
$x$-axis. This of course is true when the tangent line is well defined
by Fermat's observation.](./figures/lhopital-32.png)
### Numeric derivatives
@@ -247,10 +253,10 @@ Here the maximum occurs at an endpoint. The critical point $c=0.67\dots$ does no
:::{.callout-note}
## Note
:::
**Absolute minimum** We haven't discussed the parallel problem of absolute minima over a closed interval. By considering the function $h(x) = - f(x)$, we see that the any thing true for an absolute maximum should hold in a related manner for an absolute minimum, in particular an absolute minimum on a closed interval will only occur at a critical point or an end point.
:::
## Rolle's theorem