calculate the divergence of vector field v(x,y,z)= (e^x , ln(xy) , e^(xyz)) = e^x i + ln(xy) j + e^(xyz)k and evaluate it at the point P = (2,1,-1)

div v = ?
div v (2,1,-1) = ?

Question

calculate the divergence of vector field v(x,y,z)= (e^x , ln(xy) , e^(xyz)) = e^x i + ln(xy) j + e^(xyz)k and evaluate it at the point P = (2,1,-1)

div v = ?
div v (2,1,-1) = ?

amistre64 · Answer

http://www.youtube.com/watch?v=AJsPwNgJoKI this guy tends to do a good demonstration

amistre64 · Answer

Vx = e^x
Vy = 1/y
Vz = xy e^(xyz)

 e^x , 1/y    , xy e^(xyz)
 e^x , ln(xy) ,   e^(xyz)
-----------------------
e^(2x) + ln(xy)/y +xy e^(2xyz), is the divergence then

amistre64 · Answer

assuming i did my partials correctly

amistre64 · Answer

the rest is just plugging in x,y,z from the point given

anonymous · Answer

good video that explains it well! thank you very much

amistre64 · Answer

yeah, i like that guy; and also patrick on youtube; very good instructors