Question: how to approximate second, third and fourth derivatives with MAPLE

 

please help me here

suppose we know the following for a function which we donot know

x0 and f(x0)

x0 and f ' (x0) (first derivative at x0)

x1 and f(x1)

x2 and f(x2)


how can we approximate second, third and fourth derivatives of f(x)  for example say at  a point x3

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