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

Quote: Originally Posted by jddery Find the Linearization of f(x) = x+1/x at x =1 It's the equation of the tangent $\displaystyle f(x) \approx f(x) + f'(1)(x-1) $ So here $\displaystyle f(1) = 2$ and $\displaystyle f'(x) = 1 - \frac{1}{x^2}$ so $\displaystyle f'(1) = 0$. Sub this in above.