Jamie wants to find the derivative of $f(x)=-3e^{x-5}$ at the point $x=5$.
His table below shows the slopes of the secant lines to the graph of $f$ between the points $(5,f(5))$ and $(x,f(x))$ for $x$-values that get increasingly closer to $5$:
$x$|Slope of secant line, $\dfrac{f(x)-f(5)}{x-5}$
:- | :- | :-
$4.9$| $-2.8549$
$4.99$| $-2.9850$
$4.999$| $-2.9985$
$5.001$| $-3.0015$
$5.01$| $-3.0151$
$5.1$| $-3.1551$
**From the table, what does the derivative of $f(x)=-3e^{x-5}$ at $x=5$ appear to be?**
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