Consider the Function $f ( x ) = x ^ { 2 }$

question 66

Multiple Choice

Consider the function $f ( x ) = x ^ { 2 }$ on the interval $\left[ 0 , \frac { 1 } { 2 } \right]$ . According to the Mean Value Theorem, there must be a number c in $\left( 0 , \frac { 1 } { 2 } \right)$ such that $f ^ { \prime } ( c )$ is equal to a particular value d. What is d?

• A) \(\frac { 3 } { 2 }\)
• B)1
• C) \(\frac { 1 } { 2 }\)
• D)2
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 1 } { 4 }\)
• H)3

---

Definitions:

Zenefits

A digital human resources platform designed to help small and medium-sized businesses manage their HR needs.

Secure Data

Data that is protected through technological measures to ensure its confidentiality, integrity, and availability from unauthorized access or alterations.

E-Business

Conducting business processes on the internet, including selling products, providing services, and business-to-business transactions.

E-Commerce

Conducting transactions involving goods, services, money, or data over an electronic network, chiefly using the internet.