code running test

also seems to break syntax highlighter, though should be an easy fix

not runnable:

print("hello world")

runnable

Python

print("hello world")

Output

title test

quartz.layout.ts

console.log("hello")

matplotlib test m

Python

import matplotlib.pyplot as plt import numpy as np # Define the function f(x) and its derivative f'(x) def f(x): return np.sin(x) # Example of a function with a local max and min def df(x): return np.cos(x) # Derivative of sin(x) # Create x values x_vals = np.linspace(0, 2 * np.pi, 500) # Points of local max and min (pi/2 and 3pi/2 for sin(x)) x_max = np.pi / 2 x_min = 3 * np.pi / 2 y_max = f(x_max) y_min = f(x_min) # Tangent lines at local max and min tangent_max_x = np.linspace(x_max - 1, x_max + 1, 100) tangent_max_y = df(x_max) * (tangent_max_x - x_max) + y_max tangent_min_x = np.linspace(x_min - 1, x_min + 1, 100) tangent_min_y = df(x_min) * (tangent_min_x - x_min) + y_min # Create plot plt.figure(figsize=(6, 6)) plt.plot(x_vals, f(x_vals), label=r'$f(x) = \sin(x)$', color='black') # Plot points of local max and min plt.scatter([x_max, x_min], [y_max, y_min], color='black', zorder=5) # Plot tangent lines plt.plot(tangent_max_x, tangent_max_y, color='red', linestyle='-', linewidth=2) plt.plot(tangent_min_x, tangent_min_y, color='red', linestyle='-', linewidth=2) # Add labels and title plt.text(x_max + 0.1, y_max + 0.01, 'Local Max', fontsize=12) plt.text(x_min + 0.1, y_min - 0.3, 'Local Min', fontsize=12) plt.title(r'Demonstration of Local Max and Min of $f(x) = \sin(x)$') # Add axes plt.axhline(0, color='black',linewidth=0.5) plt.axvline(0, color='black',linewidth=0.5) # Show plot plt.show()

Output