The temperature at the point (x, y, z) in space is given by T(x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible?

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- Feb 14th 2013, 10:56 AMapatitedirectional derivative
The temperature at the point (x, y, z) in space is given by T(x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible?

- Feb 14th 2013, 04:21 PMchiroRe: directional derivative
Hey apatite.

If the fly wants to cool off in the best way then the derivative with respect to the temperature must be minimal. What does this imply? - Feb 14th 2013, 04:57 PMPlatoRe: directional derivative