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how to find the divF and curlF for F(x,y,z)= ln x i+e^(xyz) j+tan^(-1)(z/x) k

i am stick at the derivvative e^(xyz) and tan^(-1)(z/x)

2007-11-25 06:27:32 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

The partial derivatives you need are as follows.
d(e^(xyz))/dx = yze^(xyz), d-/dy = xze^(xyz), and
d-/dz = xye^(xyz).

d(arctan(z/x)/dx = [1/(1 + (z/x)^2)]*(-z/x^2), d-/dy = 0, and
d-/dz = [1/(1 + (z/x)^2)]*(1/x).

2007-11-25 07:45:30 · answer #1 · answered by Tony 7 · 0 0

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