From c280563332fb6b6c9309d89a3927e1808005eae9 Mon Sep 17 00:00:00 2001
From: konrad-gerlach <58958090+konrad-gerlach@users.noreply.github.com>
Date: Sun, 15 Jun 2025 15:51:31 +0200
Subject: [PATCH] Update convexity.py

f''(x)=(f'(x+h)-f'(x))/h = ((f(x+2h)-f(x+h))/h - (f(x+h)-f(x))/h)/h = (f(x+2h)-2f(x+h)+f(x))/h^2
---
 week7/convexity.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/week7/convexity.py b/week7/convexity.py
index 5e3c6bc..71202e9 100644
--- a/week7/convexity.py
+++ b/week7/convexity.py
@@ -39,7 +39,7 @@ def plot_with_secant(f, name):
 
 def second_derivative(f, x, h=1e-4):
     try:
-        return (f(x + h) - 2 * f(x) + f(x - h)) / (h ** 2)
+        return (f(x + 2*h) - 2 * f(x+h) + f(x)) / (h ** 2)
     except:
         return None