Question
Find the linear approximation to $f(x)$ at $x=x_{0}$. Use the linear approximation to estimate the given number.$$f(x)=2 / x, x_{0}=1,2 / 0.99$$
Step 1
We can rewrite $f(x)$ as $2x^{-1}$ to make it easier to differentiate. Using the power rule, we get $f'(x) = -2x^{-2}$, which simplifies to $f'(x) = -2/x^2$. Show more…
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