Wednesday, 27 January 2016

derivatives - partial differentiation with log function.

Can someone please help as I am stuck,



I need to show that




ϕ=k2πlog(x2+y2)1/2



satisfies Laplaces equation, however I cannot seem to differentiate this function. Note k is a constant.



How do I go about partially differentiating



log(x2+y2)



I was thinking, using chain rule, just call




x2+y2=r



so 1rlogr+logr



Any help is appreciated.

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