derivative of xcos^2(x)

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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 (xcos²(x))

Solution

cos²(x)−xsin(2x)

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ddx (xcos²(x))

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

f=x, g=cos²(x)

=dxdx cos²(x)+ddx (cos²(x))x

dxdx =1

ddx (cos²(x))=−sin(2x)

=1· cos²(x)+(−sin(2x))x

Simplify

=cos²(x)−xsin(2x)

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derivative of xcos^2(x)

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