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:

Confidence Interval

A gamut of values, arising from sample statistic evaluation, with a high likelihood of encompassing the value of a mysterious population parameter.

Sample Size

The number of observations or cases used in a study or experiment, which can impact the reliability and validity of statistical results.

Variable

Any characteristic, number, or quantity that can be measured or quantified, which can vary among subjects in a study.

Confidence Level

The proportion of times that an estimating procedure will produce intervals that contain the parameter of interest if the same population is sampled repeatedly.