Find a unit vector U such that the rate of change of f in the direction of U at the given point is maximum.
point being (3,5,pi)
I know hos to do this when given a direction but since im asked to ind the unit vector first it kinda throws me off. do i just use my point? like make it a vector and divide by it's absolute value so i get a unit vector. would that be in the same direction of ∇f so i can get a max?
2 answers
<3,5,pi>*(1/(106+pi^2)^(1/2)
You would just want to find the unit vecter like you had said in the first place.
1 answer