Let $f ( x ) = x ^ { \sqrt { x } }$

question 135

Multiple Choice

Let $f ( x ) = x ^ { \sqrt { x } }$ . Find the value of $f ^ { \prime } ( 4 )$ .

• A)2
• B)4
• C)8
• D)16
• E)2 + ln 4
• F)4 + ln 2
• G)8 + 4ln 4
• H)16 + 4ln 2

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Definitions:

Signal Amplification

The process by which a few signaling molecules can elicit major responses in the cell; the strength of each signaling molecule is magnified.

Signal Transduction

The process by which a cell responds to external signals through a series of molecular changes that convert the signal into a specific cellular response.

Local Regulators

Substances produced in one part of an organism that affect cells in close proximity.

Neurotransmitters

Chemical messengers that transmit signals across the synaptic gaps between neurons, influencing both physical and psychological functions.