Given $f ( x ) = e ^ { x }$

question 130

Multiple Choice

Given $f ( x ) = e ^ { x }$ , $g ( x ) = 5 ^ { x }$ , and h(x) = g(x) /f(x) , find $h ^ { \prime \prime } ( x )$ .

• A) \(5 ^ { x } e ^ { - x } ( \ln 5 + 1 ) ^ { 2 }\)
• B) \(5 ^ { x } e ^ { - x } ( \ln 5 - 1 ) ^ { 2 }\)
• C) \(5 ^ { x } e ^ { - x } ( \ln 5 ) ^ { 2 }\)
• D) \(- x ( x - 1 ) 5 ^ { x - 2 } e ^ { - x - 2 } ( \ln 5 ) ^ { 2 }\)

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