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Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction...

Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction of the vector < - 2 ,2>.
b) Also find the maximum rate of change of f at the given point and the unit vector of the direction in which the maximum occurs.

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