Calculate $y ^ { \prime }$ $$x y ^ { 3 } + x ^ { 3 } y = x + 3 y$$

question 6

Multiple Choice

Calculate $y ^ { \prime }$ .
$$x y ^ { 3 } + x ^ { 3 } y = x + 3 y$$

• A)
• \[y ^ { t } = \frac { 1 - y ^ { 3 } - 3 x ^ { 2 } y } { 3 x y ^ { 2 } + x ^ { 3 } - 3 }\]
• B)
• \[y ^ { t } = \frac { 1 - y ^ { 3 } - 2 x ^ { 3 } } { 3 x y ^ { 2 } + x ^ { 2 } - 3 }\]
• C)
• \[y ^ { t } = \frac { - y ^ { 4 } - 3 x y } { 4 x y ^ { 3 } + x ^ { 2 } }\]
• D)
• \[y ^ { t } = \frac { x y ^ { 2 } + 2 x - 3 } { x ^ { 2 } y ^ { 2 } ( 3 x - 1 ) }\]
• E) none of these

---

Definitions:

Predictors

Variables used in regression analysis to forecast the value of an outcome variable.

Independent Variable

An independent variable is a variable that is manipulated or changed in an experiment to test its effect on a dependent variable.

Dependent Variable

The outcome factor in a study that changes in response to manipulations of the independent variable.

Predicted Score

An estimate based on a model or algorithm of what a variable's value will be based on other variables.