Use Implicit Differentiation to Find the Specified Derivative at the Given

question 108

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { \partial y } { \partial x }$ at the point $( 2,3,2 )$ for $3 x ^ { 2 } + 6 \ln x z - 4 y z ^ { 2 } + 4 e ^ { z } = 0$ .

• A) \(\frac { 9 } { 16 }\)
• B) \(- \frac { 15 } { 16 }\)
• C) \(\frac { 15 } { 8 }\)
• D) \(\frac { 15 } { 16 }\)

---

Definitions:

Divided Attention

The ability to process multiple sources of information or engage in more than one activity at the same time.

Emotional Reactivity

The extent to which an individual responds emotionally to stimuli, including the intensity and duration of the emotional response.

Auditory Stimuli

Sounds or noises that elicit responses from the auditory system.

Retrieval

The act of retrieving or obtaining information that has been saved in memory.