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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Definitions:

Referent

An individual or group that someone relates to or identifies with, often used as a standard for comparison in social psychology.

Referent Power

A form of influence based on the leader's personal traits and the followers' identification with, attraction to, or admiration for the leader.

Critical

Characterized by a tendency to question, evaluate, and analyze issues thoroughly before accepting them as true or making decisions.

Unusual

signifies something that is not common, ordinary, or expected, often attracting attention due to its distinctiveness.