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

question 64

Multiple Choice

Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ using implicit differentiation. $\frac { x y } { 2 } - y ^ { 2 } = 9$

• A) \(\frac { y } { 4 y - x }\)
• B) \(\frac { 1 } { \sqrt { 4 x y } }\)
• C) \(4 y - 2 x\)
• D) \(\frac { 1 } { 2 y - x }\)
• E) \(\frac { y } { 4 x - y }\)

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Definitions:

Hypotheses

Testable statements or predictions, often derived from a theoretical framework, that can be tested through empirical research.

Sample Mean

The average of a subset of a larger population, used to estimate the population mean.

Sample Data

Data collected or selected from a larger population, used in statistical analysis to make inferences about the population.

Variance

A statistical measurement of the spread between numbers in a dataset, indicating how much they differ from the mean of the set.