Find the first and second derivatives of f(x) = $$\frac { 1 - 2 x } { e ^ { x } }$$ .
A) f'(x) = 2x $e ^ { x }$ - 3 $e ^ { x }$, F''(x) = 2x $e ^ { x }$ - $e ^ { x }$
B) f'(x) = 4x $e ^ { x }$ - 2 $e ^ { x }$, F''(x) = 4x $e ^ { x }$ + 2 $e ^ { x }$
C) f'(x) = $\frac { 3 - 2 x } { e ^ { x } }$, F''(x) = $\frac { 2 x - 5 } { e ^ { x } }$
D) f'(x) = $\frac { 2 x - 3 } { e ^ { x } }$, F''(x) = $\frac { 5 - 2 x } { e ^ { x } }$

Question

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The function f(x) = (1 - 2x) / e^x can be differentiated using the quotient rule. The first derivative is f'(x) = (2x - 3) / e^x, and the second derivative is f''(x) = (5 - 2x) / e^x.

Find the First and Second Derivatives of F(x) = 1−2xex\frac { 1 - 2 x } { e ^ { x } }ex1−2x​

Find the First and Second Derivatives of F(x) = $\frac { 1 - 2 x } { e ^ { x } }$