Find the Derivative of Y with Respect to the Appropriate $$y = \sinh ^ { - 1 } \sqrt { 11 x }$$

question 106

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = \sinh ^ { - 1 } \sqrt { 11 x }$$

• A) \(\frac { 1 } { \sqrt { 1 + 11 x } }\)
• B) \(\frac { 11 } { 2 \sqrt { 11 x ( 11 x - 1 ) } }\)
• C) \(\frac { 11 } { 2 \sqrt { 11 x ( 1 + 11 x ) } }\)
• D) \(\frac { 1 } { 2 \sqrt { 11 x ( 1 + 11 x ) } }\)

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Definitions:

Normal Distribution

A probability distribution that is symmetrical around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Standard Deviation

Standard deviation is a measure of the dispersion or variability of a set of data points around their mean, indicating how spread out the data points are.

Sampling Distribution

The chance distribution of a statistical measure derived from numerous samples taken from a particular group.

Central Limit Theorem

A theory stating that when samples are large enough, their mean will be approximately normally distributed, regardless of the population's distribution.