Find the Derivative of Y with Respect to the Independent $$\left. y = \log 7 \left( \frac { x + 6 } { x - 6 } \right) ^ { \ln 7 } \right)$$

question 254

Multiple Choice

Find the derivative of y with respect to the independent variable.
- $$\left. y = \log 7 \left( \frac { x + 6 } { x - 6 } \right) ^ { \ln 7 } \right)$$

• A) \(\frac { - 12 } { ( x + 6 ) ( x - 6 ) }\)
• B) \(\frac { 1 } { ( x - 6 ) ^ { 2 } }\)
• C) \(\frac { - 2 } { x + 6 }\)
• D) \(\left( \frac { 1 } { \ln 7 } \left( \frac { x + 6 } { x - 6 } \right) ^ { \ln 7 } \right.\)

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Definitions:

Operating Break-Even

The point at which a company's total revenues equal its total operating expenses, indicating no net profit or loss.

EBIT

Earnings Before Interest and Taxes; a company's profit before deducting interest expenses and income taxes.

Total Fixed Costs

The sum of all costs required to produce any amount of a product or service that does not change with the level of production output.

Corporate Taxes

Taxes imposed on the income or profit of corporations, influencing their financial strategies and profitability.