- #1

reddawg

- 46

- 0

## Homework Statement

Suppose you are standing at the point (-100,-100,360) on a hill that has the shape of the graph of z=500-0.006x

^{2}-0.008y

^{2}.

In what direction should you head to maintain a constant altitude?

## Homework Equations

D

_{u}f = ∇f[itex]\bullet[/itex]

**u**

formula for directional derivative

## The Attempt at a Solution

Here's my idea. If the directional derivative at the point specified is zero, then that's equivalent to maintaining constant altitude. Therefore, I must find the corresponding gradient vector ∇f when the directional derivative is zero right? I have no idea how to carry this out however.