Linearization problem

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December 14th 2009, 06:34 PM
jddery

Linearization problem

Find the Linearization of f(x) = x+1/x at x =1
December 15th 2009, 06:58 AM
Danny

Quote:

Originally Posted by jddery

Find the Linearization of f(x) = x+1/x at x =1

It's the equation of the tangent

$<br /> f(x) \approx f(x) + f'(1)(x-1)<br />$

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

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