[See Solution] Find the direction in which the function is increasing or decreasing or decreasing more rapidly at the point Po. f(x,y)=xe^y-ln x,


Question: Find the direction in which the function is increasing or decreasing or decreasing more rapidly at the point Po.

\[f\left( x,y \right)=x{{e}^{y}}-\ln x,\,\,\,\,\,{{P}_{0}}=\left( 4,0 \right)\]

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