Find the Gradient Vector Field of the Scalar Function $f$ (That Is, Find the Conservative Vector Field

question 83

Short Answer

Find the gradient vector field of the scalar function $f$ . (That is, find the conservative vector field $\mathbf { F }$ for the potential function $f$ of $\mathbf { F }$ .)
$$f ( x , y , z ) = 6 x y ^ { 3 } + 8 y z ^ { 4 }$$

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Definitions:

Infection

The invasion and multiplication of microorganisms such as bacteria, viruses, and parasites that are not normally present within the body.

Purulent Drainage

A type of thick, often yellowish fluid that is produced at the site of an infection, indicating the presence of pus.

Pressure Ulcer

A localized injury to the skin and/or underlying tissue, typically over a bony area, as a result of pressure or pressure in combination with shear and/or friction.

Dressing

A sterile pad or compress applied to a wound to promote healing and protect the area from further harm.