daviddoji/CalculusWithJuliaNotes.jl
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some typos.

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This commit is contained in:
Fang Liu
2025-05-23 16:20:13 +08:00
parent 837a8eb42d
commit 4d0a9e9a72
10 changed files with 54 additions and 60 deletions
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6
quarto/derivatives/curve_sketching.qmd
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@@ -195,7 +195,7 @@ To identify how wide a viewing window should be, for the rational function the a
```{julia}
cps = find_zeros(f', -10, 10)
poss_ips = find_zero(f'', (-10, 10))
poss_ips = find_zeros(f'', (-10, 10))
extrema(union(cps, poss_ips))
```
@@ -340,7 +340,7 @@ radioq(choices, answ)
###### Question
Consider the function $p(x) = x + 2x^3 + 3x^3 + 4x^4 + 5x^5 +6x^6$. Which interval shows more than a $U$-shaped graph that dominates for large $x$ due to the leading term being $6x^6$?
Consider the function $p(x) = x + 2x^2 + 3x^3 + 4x^4 + 5x^5 +6x^6$. Which interval shows more than a $U$-shaped graph that dominates for large $x$ due to the leading term being $6x^6$?
(Find an interval that contains the zeros, critical points, and inflection points.)
@@ -494,7 +494,7 @@ Does a plot over $[0,50]$ show qualitatively similar behaviour?
```{julia}
#| hold: true
#| echo: false
yesnoq(true)
yesnoq("no")
```
Exponential growth has $P''(t) = P_0 a^t \log(a)^2 > 0$, so has no inflection point. By plotting over a sufficiently wide interval, can you answer: does the logistic growth model have an inflection point?