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Solution yon fram fox, y, z) = ou np 3y z 2(2893) P= (2,91) u= L 1/3 - 2/3, 2/3 09 S 2 = 342 342 (22") = 2 cm - *.39.242 (9) gradient = 3ny e 342 of f = pf = <ku, fy, tzy of = <2947, 342 347, 3nyészy Ang (b) 04 (2,0,1) = {2320x! 3x2x12*0*, 3x2x6 = <ébe, o> but x=3 1 7f (2,0,1) = <1,6,07 1 Ano. 2= (C) find the rate change of f at p in direction vectar u. given by dot product of Gf at P) with u. Du f (2,0,1)=(7f (2,0,1)). ( 1 , 2 , 2 ) { dot product =(1,6, 07.
.
2 1/2 2 2 2 2 2 2 = 1x} + bx¢2? + Ox Du f(2,0,1) = Ang
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