Find the Derivative of the Function $y = \frac { 3 } { 5 } \sec ^ { 2 } x$

question 116

Multiple Choice

Find the derivative of the function. $y = \frac { 3 } { 5 } \sec ^ { 2 } x$

• A) \(y ^ { t } = - \frac { 6 } { 5 } \sec ^ { 2 } x \tan x\)
• B) \(y ^ { t } = \frac { 6 } { 5 } \sec ^ { 2 } x \tan ^ { 2 } x\)
• C) \(y ^ {t } = \frac { 6 } { 5 } \sec x \tan x\)
• D) \(y ^ { t } = \frac { 6 } { 5 } \sec ^ { 2 } x \tan x\)
• E) \(y ^ { t } = \frac { 3 } { 5 } \sec ^ { 2 } x \tan x\)

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Definitions:

Total Fertility Rate

Total fertility rate is the average number of children a woman would have over her lifetime, given current birth rates.

Population

The total number of people inhabiting a specific area or the total number in a particulate group under study.

Total Fertility Rate

The usual quantity of kids a woman might have during her lifetime, considering the existing rates of births.

Generation

A group of people born and living during the same time, often used to discuss and analyze societal shifts and trends.