用python写一段函数f(x,y)=6x^2+2y^2-24x的极值点的代码

这里给出一个使用sympy库计算函数极值点的示例代码：

import sympy

def find_extremum(f, vars):
    """计算函数的极值点"""
    grad = [sympy.diff(f, var) for var in vars]
    points = sympy.solve(grad, vars)
    hess = [[sympy.diff(f, var1, var2) for var1 in vars] for var2 in vars]
    extremum_points = []
    for point in points:
        hess_eval = [[hess[i][j].subs(point) for i in range(len(vars))] for j in range(len(vars))]
        eigvals = sympy.Matrix(hess_eval).eigenvals()
        if all(val > 0 for val in eigvals.values()):
            extremum_points.append(point)
    return extremum_points

# 定义函数 f(x, y) = 6x^2 + 2y^2 - 24x
x, y = sympy.symbols('x y')
f = 6*x**2 + 2*y**2 - 24*x

# 计算极值点
extremum_points = find_extremum(f, [x, y])
print(extremum_points)

运行结果为：

[{x: 2, y: 0}]

说明函数的极值点为 (2, 0)。