Use Implicit Differentiation to Find the Specified Derivative at the Given

question 309

Multiple Choice

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

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

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Definitions:

Utility

A measure of satisfaction or happiness that a consumer derives from consuming goods and services.

Income-Consumption Curve

Curve tracing the utility-maximizing combinations of two goods as a consumer’s income changes.

Utility-Maximizing

A principle or strategy of consumers making choices to achieve the highest overall level of satisfaction or utility from their available resources.

Inferior Good

An inferior good is a type of good for which demand decreases as the income of the individual increases, in contrast to a normal good.