Find the Directional Derivative Of $f ( x , y ) = x ^ { 3 } + x y ^ { 2 }$

question 203

Short Answer

Find the directional derivative of $f ( x , y ) = x ^ { 3 } + x y ^ { 2 }$ at the point $( 1 , - 2 )$ in the direction toward the origin.

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Definitions:

Physical

Relating to the body as opposed to the mind or emotions, or being in a material state.

Occult Blood

Blood that is not visible to the naked eye, often detected in stool or urine samples through laboratory tests.

Peristalsis

The series of wave-like muscle contractions that moves food through the digestive tract.

Irritable Bowel Syndrome

A chronic gastrointestinal disorder characterized by abdominal pain, bloating, and alteration of bowel habits without any organic cause.