cubic splines numerical methods coding

[shrewd crow]

So we have to code this equation into Python and I can’t code the coefficients we can’t use scipy.cubicspline as it doesn’t give any marks we have to code it entirely from scratch and I donot know where to start in coding this. If you can help me get started it would mean the world

I am stuck at finding the coefficients

(Ignore top of the page) just rough work

And it’s wrong