Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 429

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( x + 3 ) ^ { x }$$

• A) \(x + ( 3 ) ^ { x - 1 }\)
• B) \(\ln ( x + 3 ) + \frac { x } { x + 3 }\)
• C) \(( x + 3 ) ^ { x } \left( \ln ( x + 3 ) + \frac { x } { x + 3 } \right)\)
• D) \(x \ln ( x + 3 )\)

---

Definitions:

Horizontal Price Fixing

Occurs when competitors that produce and sell competing products collude, or work together, to control prices, effectively taking price out of the decision process for consumers.

Experience Curve Effect

Refers to the drop in unit cost as the accumulated volume sold increases; as sales continue to grow, the costs continue to drop, allowing even further reductions in the price.

Unit Cost

The cost incurred to produce, acquire, or sell one unit of a product or service, calculated by dividing total costs by the number of units.

Product Volume

The quantity of units of a particular product sold or produced.