Given That the Directional Derivative Of $f ( x , y )$

question 95

Short Answer

Given that the directional derivative of $f ( x , y )$ at the point $( - 1,2 )$ in the direction of $\{ 3 , - 4 \}$ is $- 10$ and that $| \nabla f ( - 1,2 ) | = 10$ , find $\nabla f ( - 1,2 )$ .

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Definitions:

Prozac

A brand name for fluoxetine, an antidepressant drug used to treat major depressive disorder, obsessive-compulsive disorder, and other conditions.

Ketamine

An anesthetic that has been found to have antidepression effects.

Antidepressant

A type of medication designed to alleviate symptoms of depressive disorders by affecting chemical balances in the brain.

Experimental Drug

A medication or therapy that is in the process of being tested for efficacy and safety but has not yet received regulatory approval for general use.