Given $f ( x , y ) = \frac { 1 } { 4 } x ^ { 4 } y ^ { 3 }$

question 293

Essay

Given $f ( x , y ) = \frac { 1 } { 4 } x ^ { 4 } y ^ { 3 }$ , at the point $( - 1,2 )$ . Find
(a) the maximum value of the directional derivative and
(b) the unit vector in the direction in which the directional derivative takes on its maximum value.

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