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Update implicit_differentiation.qmd

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sorry, I made a mistake yesterday and delete a -3 at wrong place. Now I fixed it.
This commit is contained in:
Fang Liu
2023-05-08 17:05:53 +08:00
committed by GitHub
parent 26d79e49e5
commit 921998e173
1 changed files with 2 additions and 2 deletions
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quarto/derivatives/implicit_differentiation.qmd
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@@ -440,7 +440,7 @@ To visualize, we plot implicitly and notice that:
```{julia} ```{julia}
K(x,y) = x^3 - y^3 K(x,y) = x^3 - y^3 - 3
implicit_plot(K, xlims=(-3, 3), ylims=(-3, 3)) implicit_plot(K, xlims=(-3, 3), ylims=(-3, 3))
``` ```
@@ -451,7 +451,7 @@ The same problem can be done symbolically. The steps are similar, though the las
#| hold: true #| hold: true
@syms x y u() @syms x y u()
eqn = K(x,y) - 3 eqn = K(x,y)
eqn1 = eqn(y => u(x)) eqn1 = eqn(y => u(x))
dydx = solve(diff(eqn1,x), diff(u(x), x))[1] # 1 solution dydx = solve(diff(eqn1,x), diff(u(x), x))[1] # 1 solution
d2ydx2 = solve(diff(eqn1, x, 2), diff(u(x),x, 2))[1] # 1 solution d2ydx2 = solve(diff(eqn1, x, 2), diff(u(x),x, 2))[1] # 1 solution