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Re: Re: second , third and fourth derivatives of a

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  • Subject: [mg107450] Re: [mg107438] Re: second , third and fourth derivatives of a
  • From: Bob Hanlon <hanlonr at>
  • Date: Fri, 12 Feb 2010 07:02:40 -0500 (EST)
  • Reply-to: hanlonr at

f[x_] = a*x^3 + b*x^2 + c*x + d;

coef = Solve[{f[x0] == y0, f'[x0] == y0p, f[x1] == y1, 
     f[x2] == y2}, {a, b, c, d}] // Simplify;

{f''[x3], f'''[x3], f''''[x3]} /. coef

Bob Hanlon

---- barefoot gigantor <barefoot1980 at> wrote: 

How can I do this with Mathematica?

 suppose we know the following for a function

 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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