Give an Appropriate Answer $f ( x , y ) = x ^ { 3 } - 7 x ^ { 2 } y - 6 x y ^ { 3 }$

question 88

Multiple Choice

Give an appropriate answer.
- $f ( x , y ) = x ^ { 3 } - 7 x ^ { 2 } y - 6 x y ^ { 3 }$

• A) \(\frac { \partial f } { \partial x } = 3 x ^ { 2 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 18 x y ^ { 2 }\)
• B) \(\frac { \partial f } { \partial x } = 3 x ^ { 2 } + 2 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } + 3 x y ^ { 2 }\)
• C) \(\frac { \partial f } { \partial x } = 3 x ^ { 2 } - 14 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 18 x y ^ { 2 }\)
• D) \(\frac { \partial f } { \partial x } = x ^ { 2 } - 7 x y - 6 y ^ { 3 } ; \frac { \partial f } { \partial y } = - 7 x ^ { 2 } - 6 x y ^ { 2 }\)

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Definitions:

Standard Deviations

A calculation that shows how broadly or tightly a set of values is distributed.

Independent

Not influenced or controlled by others in matters of opinion, conduct, or other actions; free from external control.

Standard Deviations

Refers to the distance of a value from the mean in a dataset, indicating the variability within the data.

Standard Deviations

An indicator of the degree of spread or diversity among a collection of numbers, showing the extent to which these numbers deviate from their average value.