Python-сообщество

 def D(f):
    def df(x, dx=0.001):
        return (f(x+dx)-f(x))/dx
    return df
def f1(x):
    return x**2
def show(F,Nmax,Xmax,dx,f):
    for i in range (Nmax + 1):
        x = i*Xmax/Nmax
       	print (F(x), F(x,dx), f(x), sep = '->')
F1 = D(f1)
print("производная (х**2)' = 2x:")
show (F1,5,1,0.01,lambda x: 2*x)

[code python][/code]

  
>>> def D(f):
...     def df(x, dx=0.001):
...         return (f(x + dx) - f(x)) / dx
...     return df
... 
>>> def f1(x):
...     return x ** 2
... 
>>> def show(F, Nmax, Xmax, dx, f):
...     for i in range(Nmax + 1):
...         x = i * Xmax / Nmax
...         print(i, end=': ')
...         print(round(F(x), 2), round(F(x, dx), 2), f(x), sep=' -> ')
... 
>>> F1 = D(f1)
>>> 
>>> print("производная (х**2)' = 2x:")
производная (х**2)' = 2x:
>>> 
>>> show(F1, 5, 1, 0.001, lambda x: 2 * x)
0: 0.0 -> 0.0 -> 0.0
1: 0.4 -> 0.4 -> 0.4
2: 0.8 -> 0.8 -> 0.8
3: 1.2 -> 1.2 -> 1.2
4: 1.6 -> 1.6 -> 1.6
5: 2.0 -> 2.0 -> 2.0
>>>