0
$\begingroup$

So this is my graph enter image description here

I am aware that we can see its not a cubic spline because $p_1(x), 0≤x≤1$ is linear. But I wanted to prove it and got stuck.

From what I know, For it to be a natural cubic spline, the second derivatives of the endpoints needs to be 0. Endpoints are at x=0 and x=3. I set up my equations accordingly.

enter image description here

This is were I get stuck. I dont know what I should do next.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.