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) \(e ^ { \gamma }\)

Understand the steps for managing cultural differences in the workplace.

Recognize the effects of low-assertion vs high-assertion cultures on communication and teamwork.

Understand the concept of cultural intelligence and its components.

Gain insight into the impact of cultural intelligence on multicultural team dynamics and leadership.

---

Definitions:

Impermeable Units

Impermeable units refer to layers of rock or sediment that water cannot easily pass through, significantly affecting the flow of groundwater and the storage of hydrocarbons.

Salt Dome

A type of geological formation where a mass of salt has risen upward through the overlying rock, often creating traps for oil and gas.

Oil Field

An area underlain by one or more reservoirs containing oil that can be extracted, often associated with gas deposits.

Impermeable Reservoir

A geological formation that cannot transmit water or other fluids, often trapping fluids such as oil or natural gas.