Question

Am i doing this right?

Operate with: \(\dfrac{\delta}{\delta x}+\dfrac{\delta}{\delta y}+\dfrac{\delta}{\delta z}\)

on: \(Ae^{-ik_1x}e^{-ik_2y}e^{-ik_3z}\)

so i did: \(-i(k_1xAe^{-ik_1x}+k_2ye^{-ik_2y}+k_3ze^{-ik_3z}\)

Answer 1

i missed that last bracket at the end

Answer 2

where are the e terms? when you're doing partials, the otehr variables act as constants and should be in there.

Answer 3

other

Answer 4

so would the first read: \(\large-ik_1xe^{-ik_1x}e^{-ik_2}e^{-ik_3}\)

Answer 5

no x in front though

Answer 6

damn, my bad. but the rest is good?

Answer 7

thanks man

Answer 8

no, where are the y and z?

Answer 9

\[\frac{ \partial \left(Ae^{-ik_{1}x}e^{-ik_{2}y}e^{-ik_{3}z}\right) }{ \partial x }=-iAk_{1}e^{-ik_{1}x}e^{-ik_{2}y}e^{-ik_{3}z}\]

Answer 10

yeah, i meant the first term.

then + 2nd part in terms of y + 3rd part in terms of z

Answer 11

yeah

Answer 12

ohhh okay, i did it wrong.

Answer 13

thanks.

Answer 14

i think i get it now

Answer 15

cool