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) \(e ^ { \gamma }\)

Appreciate the effects of intuition and formal education on decision making and problem solving.

Distinguish methods to enhance creativity on an individual and group level.

Evaluate the influence of mood, flow experience, and environmental conditions on creativity.

Understand the role of risk taking, thrill seeking, and constraints in problem-solving.

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Definitions:

Schizophrenia

Schizophrenia is a complex, chronic mental health disorder characterized by disturbances in thought, perception, emotions, and behavior.

Response Cost

Response cost is a behavioral intervention technique where a penalty is imposed for exhibiting undesired behaviors, leading to a decrease in those behaviors.

Reinforcing Events

Situations or occurrences that strengthen the likelihood of a behavior being repeated.

Incremental Validity

Incremental validity refers to the additional usefulness of a test, measure, or variable in predicting outcomes or explaining variance when compared to other tests, measures, or variables.