Find the Directional Derivative Of $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } - z$

question 186

Short Answer

Find the directional derivative of $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } - z$ at the point $( 1,3,5 )$ in the direction of $\mathbf { a } = 2 \mathbf { i } - \mathbf { j } + 4 \mathbf { k }$

---

Definitions:

Exercise Program

A planned routine of physical activities designed to improve fitness and health.

Incidence

The number of new cases of a disease or condition that are identified in a specific population during a given time period.

HIV-Positive Cases

Instances where individuals have been tested and found to have the Human Immunodeficiency Virus (HIV) in their blood.

Time Period

A specific duration or interval marked by a beginning and an end, often used to study events or changes.