The divergence of the vector field u = ex (cos yî

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The divergence of the vector field
u = e^x (cos yî + sin yĵ) is

1. 0
2. e^x cosy + e^x sin y
3. 2 e^x cos y
4. 2 e^x sin y

Correct Option: C

u = e^xcos yî + e^xsinyĵ

∇ . u =	δ	(u₁) +	δ	(u₂)
	δx		δy

=	δ	(e^x . cos y) +	δ	(e^x . sin y)
	δx		δy

= e^xcosy + e^xcosy = 2e^xcosy