From 8d8fc8bf7b9bef7f25cad3afb411efd2aa5943ff Mon Sep 17 00:00:00 2001
From: Basil Feitknecht <114588139+bfeitknecht@users.noreply.github.com>
Date: Sun, 18 Jan 2026 14:36:24 +0100
Subject: [PATCH] Fix my silly mistake (no reevaluation of functions)

---
 semester3/numcs/parts/03_zeros/04_newton-one-d.tex | 6 ++----
 1 file changed, 2 insertions(+), 4 deletions(-)

diff --git a/semester3/numcs/parts/03_zeros/04_newton-one-d.tex b/semester3/numcs/parts/03_zeros/04_newton-one-d.tex
index 712e7cb..3122c39 100644
--- a/semester3/numcs/parts/03_zeros/04_newton-one-d.tex
+++ b/semester3/numcs/parts/03_zeros/04_newton-one-d.tex
@@ -24,10 +24,8 @@ falls $F(x^*) = 0$ und $F^(x^*) \neq 0$
 def newton_method(f, df, x: float, tol=1e-12, maxIter=100):
     """ Use Newton's method to find zeros, requires derivative of f """
     k = 0
-    fx = f(x)
-    dfx = df(x)
-    while (np.abs(fx) > tol and k < maxIter):
-        x -= fx / dfx
+    while (np.abs(f(x)) > tol and k < maxIter):
+        x -= f(x) / df(x)
         k += 1
     
     return x, k