Gabe wants to find the derivative of $g(x)=-\dfrac{2}{x}$ at the point $x=1$.
His table below shows the slopes of the secant lines to the graph of $g$ between the points $(1,g(1))$ and $(x,g(x))$ for $x$-values that get increasingly closer to $1$:
$x$|Slope of secant line, $\dfrac{g(x)-g(1)}{x-1}$
:- | :- | :-
$0.9$| $2.2222$
$0.99$| $2.0202$
$0.999$| $2.0020$
$1.001$| $1.9980$
$1.01$| $1.9802$
$1.1$| $1.8182$
**From the table, what does the derivative of $g(x)=-\dfrac{2}{x}$ at $x=1$ appear to be?**
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