Here is a link to the problem:
The Attempt at a Solution
To find the divergence
Is this correct?
Looks correct to this point
What do you mean by "following this"? How did you get that and for what?Following this i get
It would help if you used parenthes:which gives me the right answer when i continue on with the question, however i am unsure about my second step... shouldn't i have to differentiate the 1/r*sin(theta) in the second term? And the 1/r^2 in the first? Or does the d(variable) only apply to the expressions written after it? As i guess you can tell, i'm confused and this is probably a really stupid question... Thanks in advance for you help ladies and gents.
div v= (1/r^2)Dr(r2vr)+ (1/r sin theta)Dtheta(sin theta vtheta)+ (1/r sin theta) Dphi(vphi)
Yes, the derivative only applies to the expression immediately following. Usually it is in the derivative symbol or in parentheses to indicate that.
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