Determine All Critical Points for the Function $$f ( x ) = 20 x ^ { 3 } - 3 x ^ { 5 }$$

question 36

Multiple Choice

Determine all critical points for the function.
- $$f ( x ) = 20 x ^ { 3 } - 3 x ^ { 5 }$$

• A) \(x = 2\)
• B) \(x = - 2\)
• C) \(x = - 2\) and \(x = 2\)
• D) \(x = 0 , x = - 2\), and \(x = 2\)

---

Definitions:

Purchasing-Power Parity

An economic theory that compares different countries' currencies through a "basket of goods" approach to evaluate the relative purchasing power of the countries.

Metal Casting

A manufacturing process where molten metal is poured into a mold to create a specific shape or design once it solidifies.

Exports

Goods or services sold by a country to other countries.

Trade Deficit

A condition where a nation's expenditures on imported goods surpass its income from exports, resulting in a greater outflow of funds than inflow.