Find the Directional Derivative of the Function $f ( x , y ) = ( x + 6 ) e ^ { y }$

question 18

Multiple Choice

Find the directional derivative of the function $f ( x , y ) = ( x + 6 ) e ^ { y }$ at the point $P ( 7,0 )$ in the direction of the unit vector that makes the angle $\theta = \frac { \pi } { 2 }$ with the positive $x$ -axis.

• A) \(6 e ^ { 7 }\)
• B) 13
• C) 1
• D) \(e ^ { \gamma }\)

---

Definitions:

Fiduciary Duty

An obligation to act in the best interest of another party, such as the duty a trustee has to the beneficiaries of a trust.

Secretary Of State

A high-ranking official responsible for foreign affairs and administrative tasks within a government.

Treasurer

An official or executive in an organization responsible for managing and overseeing financial affairs and funds.

Chief Information Officer

An executive role responsible for managing and implementing information and computer technologies in an organization.