Find the Derivative of the Function $h ( x ) = x ^ { 5 / 3 }$

question 72

Multiple Choice

Find the derivative of the function $h ( x ) = x ^ { 5 / 3 }$ .

• A) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { 8 /3 }\)
• B) \(h ^ { \prime } ( x ) = - \frac { 5 } { 3 } x ^ { 2 / 3 }\)
• C) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { 2 / 3 }\)
• D) \(h ^ { \prime } ( x ) = - \frac { 5 } { 3 } x ^ { 8 / 3 }\)
• E) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { - 2 / 3 }\)

---

Definitions:

Market Orientation

A business approach focusing on identifying and meeting the needs and desires of consumers through the product's design, pricing, promotion, and distribution.

Customer Information

Data about customers, including personal details, preferences, and purchase history, used by businesses to tailor services and marketing efforts.