If $f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )$

question 18

Multiple Choice

If $f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )$

• A)
• \(\frac { 3 \sqrt { 2 } } { 8 }\)
• B) \(\frac { \sqrt { 2 } } { 4 }\)
• C) \(\frac { 1 } { 4 }\)
• D) \(\frac { 1 } { 8 }\)
• E) \(\frac { \sqrt { 2 } } { 2 }\)
• F) \(\frac { 1 } { 2 }\)
• G) \(\sqrt { 2 }\)
• H)1

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Definitions:

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A characteristic or quality distinguishing a person, often used in the context of personality traits.

Behaves

Refers to the manner in which an individual, group, or entity acts or conducts themselves, often observed in response to certain stimuli or in specific environments.

Infer

To deduce or conclude information from premises or evidence.

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A psychological perspective emphasizing individual potential for growth and the importance of human values, empathy, and the pursuit of meaning.