- #1

the7joker7

- 113

- 0

## Homework Statement

Basically, I have a differential equation. One of the elements of it is...

F(P) = 0.2P(1 - (P/10))

And I need to replace it with it's first-order Taylor polynomial centered at P=10.

## The Attempt at a Solution

I haven't done Taylor polynomial stuff in over a year so I went and looked it up...as near as I could tell, an FOTP of an equation was the equation plus the derivative of that equation times (x - a). Is this accurate?

If so, this is fairly simple, as I can find the derivative of F(P) as 0.2 - 0.04P. but what do I do with the (x - a) part? I think for my purposes it would be (x - P), but still, how do I treat this?