- #1

yecko

Gold Member

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- 8

## Homework Statement

Find the unit vectors along which the given functions below increase and decrease most rapidly at P

_{0}. Then find the derivatives of the functions in these directions.

## Homework Equations

solution:

## The Attempt at a Solution

why are the derivatives’ values along these two directions are 2*sqrt(3)?

as (∇f)(P

_{0})= <1,1,1>, absolute value of it = sqrt(3)

why is the solution multiplied 2 for it?

thanks