Recent content by HGM915

But how would I be able to make a new equation fitting the other endpoint where the derivative is equal to the previous piece?

How would I go about that?

I've figured out how to make it continuous and fit the other criteria, but the differentiability is killing me. I just spent about an hour thinking of all the possible equations with the derivatives to no avail. How do I even come up with the equations so they're differentiable? And does anyone...

How would I do that? And how would I be able to make the function continuous and differentiable?

Homework Statement The following five points lie on a function: (1,20) (2,4) (5,3) (6,2) (10,1) Find an equation that passes through these points and has these features: a. There are three inflection points b. There is at least one local maximum c. there is at least one local...