APFIVE Tangent Line to an Integral Function
Let $$F$$ be the function defined by
$$F(x)=\int_{1}^{x}\frac{1}{t}\, dt.$$
Which of the following is an equation for the line tangent to the graph of $$F$$ at the point where $$x=e$$?
A
$$y=\frac{1}{e}x-\frac{1}{e}+1$$
B
$$y=x-e+1$$
C
$$y=\frac{1}{e}$$
D
$$y=\frac{1}{e}x$$
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