Suppose That $x y ^ { 2 } + \sin y + x ^ { 3 } = 1$

question 18

Multiple Choice

Suppose that $x y ^ { 2 } + \sin y + x ^ { 3 } = 1$ .Find $\frac { d y } { d x }$ .

• A) \(- \frac { 1 } { 2 x y + \cos y }\)
• B) \(- \frac { 3 x ^ { 2 } } { 2 x y + \cos y }\)
• C) \(- \frac { 3 x ^ { 2 } + y ^ { 2 } } { 2 x y + \cos y }\)
• D) \(- \frac { y ^ { 2 } } { 2 x y + \cos y }\)

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Definitions:

Confidence Interval

A range of values, derived from the statistical analysis of data, that is likely to include the true population parameter with a certain level of confidence.

Sample

A subset of individuals or observations from a population used to estimate parameters or statistics of the whole population.

Mean

The average of a set of numbers, calculated by summing them up and dividing by the number of summands.

Standard Deviation

A measure of the amount of variability or dispersion of a set of values around the mean.