Find $\frac { \mathrm { d } x } { \mathrm {~d} y }$

question 4

Multiple Choice

Find $\frac { \mathrm { d } x } { \mathrm {~d} y }$ using implicit differentiation. $( x y ) ^ { 2 } + y ^ { 2 } = 5$

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

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Definitions:

Client-Centered Therapy

A form of psychotherapy developed by Carl Rogers that emphasizes providing a supportive emotional environment where clients can lead their own process of self-healing.

Unconscious Conflict

A mental struggle stemming from desires or impulses in the unconscious mind that are at odds with one's conscious beliefs or values.

Irrational Beliefs

Unreasonable, unfounded beliefs that are often negative and can lead to emotional and behavioral issues.

Genuineness

The quality of being authentic, open, and sincere in one's interactions with others.