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range of (7x^2+6)(2x^2-4)

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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 ((2x³+2x−1)−(2x²−5x−6))

Solution

6x²−4x+7

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Solution steps

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ddx ((2x³+2x−1)−(2x²−5x−6))

Simplify (2x³+2x−1)−(2x²−5x−6): 2x³−2x²+7x+5

=ddx (2x³−2x²+7x+5)

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

=ddx (2x³)−ddx (2x²)+ddx (7x)+ddx (5)

ddx (2x³)=6x²

ddx (2x²)=4x

ddx (7x)=7

ddx (5)=0

=6x²−4x+7+0

Simplify

=6x²−4x+7

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

range of (7x^2+6)(2x^2-4)

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