# Please give the answer symbolically, thank you. The temperature at a point (x, y, z) is...

###### Question:

The temperature at a point (x, y, z) is given by T(x, y, z) = 102-3x2 – 3y2 – 222 In which direction does the temperature increase fastest at the point (3, 1, 4)? Express your answer as a UNIT vector.

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