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d/(dz)(((z-8)^2)/(z^2-64))

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

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

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ddx (2x²−36 −1x²+6x )

Solution

−2(x−3)x²(x−6)²

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ddx (2x²−36 −1x²+6x )

Apply the Sum/Difference Rule: (f±g)′=f ′±g′

=ddx (2x²−36 )−ddx (1x²+6x )

ddx (2x²−36 )=−4x(x²−36)²

ddx (1x²+6x )=−2x+6(x²+6x)²

=−4x(x²−36)² −(−2x+6(x²+6x)² )

Simplify −4x(x²−36)² −(−2x+6(x²+6x)² ): −2(x−3)x²(x−6)²

=−2(x−3)x²(x−6)²

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

d/(dz)(((z-8)^2)/(z^2-64))

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