Question

What is linearization?/ How do you do it?

Answer 1

A linearization is a method of approximating values of a function using a tangent line

Answer 2

do you have a specific question?

Answer 3

Given a point x = a, the linearization of f(x) at x = a is L(x) = f'(a)(x-a)+f(a)

Answer 4

No I don't. I have a free response tomorrow and thats all my teacher said to know.

Answer 5

at points very close to x = a on the graph of f(x), L(x) can give a decent approximation

Answer 6

L is an approximation of the slope at f(a)

Answer 7

no, not of the slope

Answer 8

it approximates values of f(x) (the function)

Answer 9

So basically find the slope that the point that is given and plug it in?

Answer 10

you need the slope at the point, which is f'(a)

Answer 11

All a linearization is is the equation for a tangent line to a function at a point x = a

Answer 12

Oh ok. That makes sense. Thank you

Answer 13

No problem