Prove that the curl of a gradient is always zero. Check it for function (b) in Prob. 1.11.
Reference Prob. 1.11.
Find the gradients of the following functions:
(a) f (x, y, z) = x2 + y3 + z4.
(b) f (x, y, z) = x2 y3z4.
(c) f (x, y, z) = ex sin(y) ln(z).
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