Question
Use differentials to determine the approximate change in the value of the given function as its argument changes from the given value by the given amount. What is the approximate value of the function after the change?$y=1 / x,$ as $x$ increases from 2 to 2.01
Step 1
01. We can use the concept of differentials to find this. The differential of $y$, denoted as $dy$, can be approximated as $f'(x) \cdot dx$, where $f'(x)$ is the derivative of the function and $dx$ is the change in $x$. Show more…
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