Find $\frac { d y } { d x }$ Of $y = \sqrt { u }$

question 62

Multiple Choice

Find $\frac { d y } { d x }$ of $y = \sqrt { u }$ , $u = 9 - x ^ { 2 }$ .

• A) \(\frac { x } { \sqrt { 9 - x ^ { 2 } } }\)
• B) \(\frac { 1 } { 2 \sqrt { 9 - x ^ { 2 } } }\)
• C) \(\frac { - x } { \sqrt { 9 - x ^ { 2 } } }\)
• D) \(- \frac { 1 } { 2 \sqrt { 9 - x ^ { 2 } } }\)
• E)none of these choices

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Definitions:

Conditioned Emotional Responses

Emotional reactions that have been learned through classical conditioning, such as fear or joy associated with specific stimuli.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired; a response that is initially elicited by the second stimulus is eventually elicited by the first stimulus alone.

Observational Learning

A learning process where individuals acquire new behaviors, skills, or attitudes by watching others, particularly those they consider models.

Bobo Dolls

Inflatable dolls used in a series of experiments by psychologist Albert Bandura to study children's behavior after observing an adult model acting aggressively towards the doll.