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Find the First and Second Derivatives of F(x) = 12xex\frac { 1 - 2 x } { e ^ { x } }

Question 7

Multiple Choice

Find the first and second derivatives of f(x) = 12xex\frac { 1 - 2 x } { e ^ { x } } .


A) f'(x) = 2x exe ^ { x } - 3 exe ^ { x } , F''(x) = 2x exe ^ { x } - exe ^ { x }
B) f'(x) = 4x exe ^ { x } - 2 exe ^ { x } , F''(x) = 4x exe ^ { x } + 2 exe ^ { x }
C) f'(x) = 32xex\frac { 3 - 2 x } { e ^ { x } } , F''(x) = 2x5ex\frac { 2 x - 5 } { e ^ { x } }
D) f'(x) = 2x3ex\frac { 2 x - 3 } { e ^ { x } } , F''(x) = 52xex\frac { 5 - 2 x } { e ^ { x } }

Correct Answer:

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