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derivative of (2x^2-1(-x^2-6))

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

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ddx ((2x²−1)(−x²−6))

Solution

−8x³−22x

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ddx ((2x²−1)(−x²−6))

Apply the Product Rule: (f·g)′=f ′·g+f·g′

f=2x²−1, g=−x²−6

=ddx (2x²−1)(−x²−6)+ddx (−x²−6)(2x²−1)

ddx (2x²−1)=4x

ddx (−x²−6)=−2x

=4x(−x²−6)+(−2x)(2x²−1)

Simplify 4x(−x²−6)+(−2x)(2x²−1): −8x³−22x

=−8x³−22x

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

derivative of (2x^2-1(-x^2-6))

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