Find the maximum rate of change of f at the

maduregimc

maduregimc

Answered question

2021-12-22

Find the maximum rate of change of f at the given point and the direction in which it occurs.
f(x,y,z)=x2+y2+z2, (9,7,2)
maximum rate of change =
direction vector =

Answer & Explanation

Heather Fulton

Heather Fulton

Beginner2021-12-23Added 31 answers

f=xx2+y2+z2,yx2+y2+z2,zx2+y2+z2(9,7,2)
f=992+72+22,792+72+22,292+72+22=9,7,2134
Maximum rate of change =||f=92+72+22134=1
direction =f||f=9,7,2134
Jordan Mitchell

Jordan Mitchell

Beginner2021-12-24Added 31 answers

The formula is just him finding the derivative with respect to whatever slot the equation is in (f gradient = fx',fy',fz') and so forth.
karton

karton

Expert2021-12-30Added 613 answers

where does that formula come from in?

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?