Find the Derivative Of $g ( x ) = \sqrt { e ^ { x } + e ^ { x ^ { 5 } } }$

question 5

Multiple Choice

Find the derivative of $g ( x ) = \sqrt { e ^ { x } + e ^ { x ^ { 5 } } }$ .

• A) \(\sqrt { e ^ { x } + 5 x ^ { 4 } e ^ { x ^ { 5 } } }\)
• B) \(\frac { 1 } { 2 \sqrt { e ^ { x } + e ^ { x ^ { 5 } } } }\)
• C) \(\frac { e ^ { x } + 5 x ^ { 4 } e ^ { x ^ { 5 } } } { 2 \sqrt { e ^ { x } + e ^ { x ^ { 5 } } } }\)
• D) \(\frac { e ^ { x } + x ^ { 5 } e ^ { x ^ { 5 } - 1 } } { 2 \sqrt { e ^ { x } + e ^ { x ^ { 5 } } } }\)

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