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derivative of sqrt(x)/(2x+3)

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

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ddx (√x2x+3 )

Solution

−2x+32√x(2x+3)²

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ddx (√x2x+3 )

Apply the Quotient Rule: (fg )^′=f ′·g−g′·fg²

=ddx (√x)(2x+3)−ddx (2x+3)√x(2x+3)²

ddx (√x)=12√x

ddx (2x+3)=2

=12√x (2x+3)−2√x(2x+3)²

Simplify 12√x (2x+3)−2√x(2x+3)² : −2x+32√x(2x+3)²

=−2x+32√x(2x+3)²

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

derivative of sqrt(x)/(2x+3)

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