Linearization of function F(t) = t2 /2 + 2t

[char808]

Homework Statement

Finding the linearization of the function F(t) = t2 /2 + 2t at t = -1.

Homework Equations

F'(t) = t+2

The Attempt at a Solution

F(t) + F'(t)(t-a)

-3+1(t+1) = t -2

 

[vela]

Good try, but you need to correct a few errors. First, there's no y in your answer. The linearization of F(t) is a line, so your answer should be an equation of a line, e.g. y=mt+b. Other than that, just recheck your calculations of F(-1).