derivative of 15xcos(x)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx (15xcos(x))

Solution

15(cos(x)−xsin(x))

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Solution steps

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ddx (15xcos(x))

Take the constant out: (a·f)′=a·f ′

=15ddx (xcos(x))

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

f=x, g=cos(x)

=15(dxdx cos(x)+ddx (cos(x))x)

dxdx =1

ddx (cos(x))=−sin(x)

=15(1· cos(x)+(−sin(x))x)

Simplify

=15(cos(x)−xsin(x))

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

derivative of 15xcos(x)

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