Find the Derivative of the Function $$f ( x ) = \left( x ^ { 2 } + 1 \right) \left( \frac { 9 x - 1 } { 7 x + 1 } \right)$$

question 86

Multiple Choice

Find the derivative of the function.
$$f ( x ) = \left( x ^ { 2 } + 1 \right) \left( \frac { 9 x - 1 } { 7 x + 1 } \right)$$

• A) \(\frac { 63 x ^ { 3 } + 135 x ^ { 2 } + 49 x + 9 } { 7 ( 7 x + 1 ) ^ { 2 } }\)
• B) \(\frac { 63 x ^ { 3 } + 135 x ^ { 2 } + 49 x + 9 } { 7 ( 7 x + 1 ) }\)
• C) \(\frac { 126 x ^ { 3 } + 20 x ^ { 2 } - 2 x + 16 } { ( 7 x + 1 ) ^ { 2 } }\)
• D) \(\frac { 126 x ^ { 3 } + 20 x ^ { 2 } - 2 x + 16 } { ( 7 x + 1 ) }\)

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Definitions:

Widely Dispersed

Describes data that is spread out over a large range, showing significant variability within the dataset.

Shape Of The Distribution

The form or appearance of the graph of a distribution, which can include features like skewness and kurtosis.

Interval Variables

A type of quantitative variable that represents numeric data with meaningful intervals but without a true zero point.

Coefficient Of Determination

A measure used in statistical analysis that assesses how well a model explains and predicts future outcomes, often represented by R^2.