Question: Find the directions in which the function increases and decreases most rapidly at P 0 . Then find the derivatives of the function in those

Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
f(x,y,z)=2ln(xy)+2ln(yz)+2ln(xz),P0(1,1,1)
In which direction does the function increase most rapidly?
(Type exact answers, using radicals as needed.)
Find the directions in which the function

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