Find the Derivative of the Function $$y = \frac { x ^ { 2 } + 8 x + 3 } { \sqrt { x } }$$

question 14

Multiple Choice

Find the derivative of the function.
- $$y = \frac { x ^ { 2 } + 8 x + 3 } { \sqrt { x } }$$

• A) \(y ^ { \prime } = \frac { 2 x + 8 } { 2 x ^ { 3 / 2 } }\)
• B) \(y ^ { \prime } = \frac { 3 x ^ { 2 } + 8 x - 3 } { x }\)
• C) \(y ^ { \prime } = \frac { 2 x + 8 } { x }\)
• D) \(y ^ { \prime } = \frac { 3 x ^ { 2 } + 8 x - 3 } { 2 x ^ { 3 / 2 } }\)

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