If $f ( x ) = 2 e ^ { x } - 3 x ^ { e } + \sqrt { e }$

question 201

Multiple Choice

If $f ( x ) = 2 e ^ { x } - 3 x ^ { e } + \sqrt { e }$ , find $f ^ { \prime } ( x )$ .

• A) \(2 x e ^ { x - 1 } - 3 x e ^ { e - 1 }\)
• B) \(2 e ^ { x } - 3 x ^ { e } + \sqrt { e }\)
• C) \(2 x e ^ { x - 1 } - 3 x ^ { e - 1 } + \frac { 1 } { 2 } e ^ { - 1 / 2 }\)
• D) \(2 e ^ { x } - 3 e x ^ { e - 1 }\)
• E) \(e ^ { x } - 3 e x ^ { e - 1 }\)
• F) \(2 e ^ { x } - 3 x ^ { e - 1 }\)
• G) \(2 e ^ { x } - 3 x ^ { e }\)
• H) \(2 e ^ { x } - e x ^ { e - 1 }\)

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