derivative of xsin(x-cos(x))

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

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ddx (xsin(x)−cos(x))

Solution

xcos(x)+2sin(x)

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ddx (xsin(x)−cos(x))

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

=ddx (xsin(x))−ddx (cos(x))

ddx (xsin(x))=sin(x)+xcos(x)

ddx (cos(x))=−sin(x)

=sin(x)+xcos(x)−(−sin(x))

Simplify

=xcos(x)+2sin(x)

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+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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derivative of xsin(x-cos(x))

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