$$\text { Find the partial derivative } \frac { \partial z } { \partial y } \text { for the function } z = 16 y ^ { 2 } \sqrt { x }$$

question 75

Multiple Choice

$$\text { Find the partial derivative } \frac { \partial z } { \partial y } \text { for the function } z = 16 y ^ { 2 } \sqrt { x }$$

• A) \(\frac { \partial z } { \partial y } = 16 y \sqrt { x }\)
• B) \(\frac { \partial z } { \partial y } = 129 y \sqrt { x }\)
• C) \(\frac { \partial z } { \partial y } = 32 y \sqrt { x }\)
• D) \(\frac { \partial z } { \partial y } = 193 y \sqrt { x }\)
• E) \(\frac { \partial z } { \partial y } = 192 y \sqrt { x }\)

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Definitions:

Psychoanalysis

A therapeutic approach and theory of psychotherapy developed by Sigmund Freud focusing on unconscious processes and unresolved conflicts.

Desensitization

A psychological process through which an individual's emotional response to a previously inducing stimulus is reduced, often used as a treatment for phobias.

Free Association

A psychoanalytic technique where patients express thoughts and feelings exactly as they occur, with as little censorship as possible, to uncover unconscious processes.

Unconscious Thoughts

Mental processes that occur without conscious awareness, influencing behavior, perceptions, and emotions.