Find the Derivative of the Function $y = \ln \left( \cos ^ { 2 } x \right)$

question 4

Multiple Choice

Find the derivative of the function $y = \ln \left( \cos ^ { 2 } x \right)$ and simplify your answer by using the trigonometric identities.

• A) \(y = 2 \tan x\)
• B) \(y = \frac { 2 } { \cos x \sin x }\)
• C) \(y = - 2 \tan x\)
• D) \(y = 2 \cot x\)
• E) \(y = - 2 \cot x\)

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Definitions:

Coefficient of Variation

A statistical measure of the dispersion of data points in a data series around the mean, indicating the level of volatility.

Probability Distribution

A statistical analysis function that maps out all prospective values and their probabilities for a random variable within an established scope.

Standard Deviation

A statistical measure of the dispersion or variability of a set of data points, commonly used in finance to assess the volatility of an investment's returns.

Market Return

The total return on investment in the stock market, including both capital gains and dividends.