$\text { Find } \frac { d y } { d x }$

question 59

Multiple Choice

$\text { Find } \frac { d y } { d x }$ $\begin{array} { l } x = \sqrt [ 12 ] { t } \\y = 6 - t\end{array}$

• A)\(\frac { d y } { d x } = - 12 t ^ { \frac { 13 } { 12 } }\)
• B)\(\frac { d y } { d x } = - 12 t ^ { \frac { 11 } { 12 } }\)
• C)\(\frac { d y } { d x } = - 6 t ^ { \frac { 11 } { 12 } }\)
• D)\(\frac { d y } { d x } = 6 t ^ { \frac { 13 } { 12 } }\)
• E)\(\frac { d y } { d x } = 12 t ^ { \frac { 11 } { 12 } }\)

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Definitions:

Standard Deviation

A measure of the dispersion or variability within a set of data points, indicating how much the values deviate from the mean of the set.

Infinite Population

A hypothetical population of unlimited size, often used in statistical models to simplify calculations.

Standard Deviation

A measure of the dispersion or variability of a set of data points relative to their mean.

Sample Size

The number of observations or specimens included in a statistical sample.