MTH 254 Lecture Notes - Lecture 15: Directional Derivative, Unit Vector, Level Set

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Change of f in the direction of a point on the surface. , y ) and let it be ii a at. Ha be unit vector in the xd - plane . hit. Ca , b ) , ty ca , or. At ca , b ) in the direction it is of f ca , b) lim t lathi "ll. , b th tiz ) f ca , h o h. Pr = citi ( a , b ) direction. Ca , b) iz > it is and let in the of f at at. Ctx ( a , b) f y la , b) 7 of it , The directional derivative be a unit vector of the xy plane . Cx , b) is the vector valued function. , y ) fy ( x , y ) > C 3,2 ) for f c x , y. 2 +24 ( x , d) ( 3 , 2)

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