QuestionWhat is the slope of the line tangent to the graph of $f(x)=\frac{2 x}{e^{-6 x}}$ at $x=1$ ? Express your answer in simplest form with no negative exponents.

Studdy Solution
Express the answer in simplest form with no negative exponents.
The expression $14e^{6}$ already has no negative exponents and is in its simplest form.
The slope of the tangent line at $x = 1$ is $\boxed{14e^{6}}$.