10 5 pts find a unit vector in the direction in which

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______________________________________________________________________ 10. (5 pts.) Find a unit vector in the direction in which f ( x , y ) increases most rapidly at P 0 = (0, π /6) when f ( x , y ) cos(3 x y ). _________________________________________________________________ Silly 10 Point Bonus: (a) State the definition of differentiability for a function of two variables. [You may either state the definition found in the text or the one given by the instructor in class.] (b) Then using only the definition you stated, show the function f ( x , y ) xy is differentiable at any point (x,y) in the plane. Say where your work is, for it won’t fit here.
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