Interpolating polynomial

[kepler]

Hi,

I', trying to interpolate 3 set of points, knowing each one derivatives. I think it will be a four degree polynomial.

Can someone help me out?

Kind regards

Kepler

 

[JeffM]

Hi,

I', trying to interpolate 3 set of points, knowing each one derivatives. I think it will be a four degree polynomial.

Can someone help me out?

Kind regards

Kepler

I am not sure I understand the question.

What it seems to say is that you have the value of the derivative of f(x) at three distinct values of x. That is sufficient to determine the formula for f'(x) if it is a quadratic. If so, you can integrate to find the family of cubics to which f(x) belongs, but without further information, you cannot determine the specific cubic. Of course, with so little information, it is guesswork whether the derivative is a quadratic.