find-the-drivative-of-f-x-y-z-cos-xy-e-zy-ln-zy-at-point-1-0-1-2-in-the-direction-v-i-2j-2k-

Tinku Tara June 4, 2023 Differentiation 0 Comments

Question Number 171265 by ali009 last updated on 11/Jun/22

find the drivative of f(x,y,z)=cos(xy)+e^(zy) +ln(zy) at point (1,0,(1/2)) in the direction v=i+2j+2k

$${find}\:{the}\:{drivative}\:{of}\: \\ $$$${f}\left({x},{y},{z}\right)={cos}\left({xy}\right)+{e}^{{zy}} +{ln}\left({zy}\right) \\ $$$${at}\:{point}\:\left(\mathrm{1},\mathrm{0},\frac{\mathrm{1}}{\mathrm{2}}\right)\:{in}\:{the}\:{direction} \\ $$$${v}={i}+\mathrm{2}{j}+\mathrm{2}{k} \\ $$

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