Use Logarithmic Differentiation to Find the Derivative of the Function $$y = ( x + 1 ) ^ { 2 } \left( 8 x ^ { 2 } - 5 \right) ^ { 3 }$$

question 28

Short Answer

Use logarithmic differentiation to find the derivative of the function.
$$y = ( x + 1 ) ^ { 2 } \left( 8 x ^ { 2 } - 5 \right) ^ { 3 }$$

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Definitions:

Squared Deviation

Squared deviation refers to the squared differences between each data point in a dataset and the mean of that dataset.

Mathematical Average

Also known as the mean; a measure of central tendency calculated by adding all the numbers in a data set and dividing by the count of those numbers.

Mode

The value that is most prevalent in a dataset.

Frequency Distribution

A frequency distribution shows how often each different value in a set of data occurs.