APFIVE Tangent Line to an Exponential Function
If $$ r $$ is the function given by $$ r(x) = e^{5-\frac{x}{4}} $$, which of the following is an equation of the line tangent to the graph of $$ r $$ at the point $$ (4, e^4) $$ ?
A
$$ y - e^4 = -\frac{e^4}{4}(x - 4) $$
B
$$ y - 4 = -\frac{e^4}{4}(x - e^4) $$
C
$$ y - e^4 = \frac{e^4}{4}(x - 4) $$
D
$$ y - e^4 = -e^4(x - 4) $$
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