Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 92

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = 4 x ^ { x ^ { 2 } }$$

• A) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x )\)
• B) \(x ( 2 \ln 4 x + 1 )\)
• C) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x + 1 )\)
• D) \(x ^ { x ^ { 2 } + 1 } \ln 4 x\)

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Definitions:

Beta

An assessment of the unpredictability or inherent risk found in a security or portfolio when juxtaposed with the general market.

Risk-Free Rate

The theoretical rate of return of an investment with zero risk, serving as a benchmark for measuring the risk of other investments.

Intrinsic Value

The perceived or calculated true value of an asset, determined through fundamental analysis without reference to its market price.

ROE

Return On Equity, a profitability ratio that measures the ability of a firm to generate profits from its shareholders' investments in the company.