Mathematics
Mathematics, 09.10.2019 16:10, tiwaribianca475

Consider the function f (x comma y comma z )equals 1 plus 4 xyz, the point p(negative 1 comma negative 1 comma 1 ), and the unit vector bold uequalsleft angle startfraction 1 over startroot 3 endroot endfraction comma startfraction 1 over startroot 3 endroot endfraction comma startfraction 1 over startroot 3 endroot endfraction right angle . a. compute the gradient of f and evaluate it at p. b. find the unit vector in the direction of maximum increase of f at p. c. find the rate of change of the function in the direction of maximum increase at p. d. find the directional derivative at p in the direction of the given vector.

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Consider the function f (x comma y comma z )equals 1 plus 4 xyz, the point p(negative 1 comma negati...

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