class Dual:    def __init__(self, value, derivative):        self.value = value        self.derivative = derivative # works as dot{x}    def __add__(self, other):        return Dual(self.value + other.value, self.derivative + other.derivative)    def __mul__(self, other):        return Dual(self.value * other.value,                     self.value * other.derivative + self.derivative * other.value)    def __pow__(self, n):        return Dual(self.value ** n,                     n * (self.value ** (n-1)) * self.derivative)def f(x):    return x**4 + 3*x**2 + 2*xx = Dual(2.0, 1.0)  # x = 2, dx/dx = 1 (~> dot{x})result = f(x)print(f"f(2) = {result.value}, f'(2) = {result.derivative}")# Output: f(2) = 42.0, f'(2) = 58.0