Use Logarithmic Differentiation to Find the Derivative of the Function

question 83

Essay

Use logarithmic differentiation to find the derivative of the function.
y = (x + 7)^5/x

---

Definitions:

Marginal Productivity

The additional output that results from using one more unit of a specific factor of production, holding all other factors constant.

Marginal Cost Curve

A graphical representation showing how the cost of producing one more unit of a good changes as production levels vary.

Output

The quantity of goods or services produced by a business, industry, or economy.

Long Run

Period in which all inputs or factors of production can be varied, and all costs are variable, allowing companies to adjust to changes in market demand or production capabilities.