second , third and fourth derivatives of a
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From: Bob Hanlon on 12 Feb 2010 07:03 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(a)gmail.com> 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. |