# Linearization problem

• Dec 14th 2009, 06:34 PM
jddery
Linearization problem
Find the Linearization of f(x) = x+1/x at x =1
• Dec 15th 2009, 06:58 AM
Jester
Quote:

Originally Posted by jddery
Find the Linearization of f(x) = x+1/x at x =1

It's the equation of the tangent

$
f(x) \approx f(x) + f'(1)(x-1)
$

So here $f(1) = 2$ and $f'(x) = 1 - \frac{1}{x^2}$ so $f'(1) = 0$. Sub this in above.