divergence (x,y,z^2)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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divergence (x, y, z²)

Solution

2z+2

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Divergence of vector function

For a given vector f(x, y, z) the divergence is div(f)= ∂ ∂ x (f_x)+∂ ∂ y (f_y)+∂ ∂ z (f_z)

=∂ ∂ x (x)+∂ ∂ y (y)+∂ ∂ z (z²)

∂ ∂ x (x)=1

∂ ∂ y (y)=1

∂ ∂ z (z²)=2z

=1+1+2z

Simplify

=2z+2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

divergence (x,y,z^2)

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