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

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ddx ((7x²+6)(2x²−4))

Solution

56x³−32x

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ddx ((7x²+6)(2x²−4))

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

f=7x²+6, g=2x²−4

=ddx (7x²+6)(2x²−4)+ddx (2x²−4)(7x²+6)

ddx (7x²+6)=14x

ddx (2x²−4)=4x

=14x(2x²−4)+4x(7x²+6)

Simplify 14x(2x²−4)+4x(7x²+6): 56x³−32x

=56x³−32x

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

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

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