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derivative of 4xsin(x)

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ddx (4xsin(x))

Solution

4(sin(x)+xcos(x))

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ddx (4xsin(x))

Take the constant out: (a·f)′=a·f ′

=4ddx (xsin(x))

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

f=x, g=sin(x)

=4(dxdx sin(x)+ddx (sin(x))x)

dxdx =1

ddx (sin(x))=cos(x)

=4(1· sin(x)+cos(x)x)

Simplify

=4(sin(x)+xcos(x))

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

derivative of 4xsin(x)

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