Find $d y / d x$ Implicitly and Explicitly(the Explicit Functions Are Shown on the Graph)

question 37

Multiple Choice

Find $d y / d x$ implicitly and explicitly(the explicit functions are shown on the graph) and show that the results are equivalent. Use the graph to estimate the slope of the tangent line at the labeled point. Then verify your result analytically by evaluating $d y / d x$ at the point.

• A) \(\frac { 1 } { 2 y } , - \frac { 1 } { 2 }\)
• B) \(- \frac { 1 } { 2 y } , \frac { 1 } { 2 }\)
• C) \(- \frac { 1 } { 2 y } , - \frac { 1 } { 2 }\)
• D) \(\frac { 1 } { 2 y } , \frac { 1 } { 2 }\)
• E) \(\frac { 1 } { 2 } , - \frac { 1 } { 2 }\)

Comprehend the structure of personality according to Freud: id, ego, and superego.

Recognize the role of psychic conflict in behavior according to psychoanalytic theory.

Examine the concept of psychic energy and its role in mental processes.

Understand the mechanisms of defense and their function in psychoanalytic theory.

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Definitions:

Anesthetic

A substance that induces insensitivity to pain, used during surgical procedures to induce loss of sensation or consciousness.

Insensibility

The lack of physical sensation or the inability to react to sensory stimuli.

Pain

An unpleasant sensory and emotional experience associated with actual or potential tissue damage.

Touch

The sense by which objects or pressure are perceived through the skin, vital for human perception and interaction.