Answer
$f'(x) = e^{-x}(2x-3)$
Work Step by Step
$f(x) = (1-2x)(e^{-x})$
Using Product Rule:
$f'(x) = (-2)(e^{-x}) + (1-2x)(-e^{-x}) = e^{-x}(2x-3)$
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