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injective y=sqrt(x)

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

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ddx ((x+1)cos(x))

Solution

cos(x)−sin(x)(x+1)

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ddx ((x+1)cos(x))

Wende die Produktregel an: (f·g)′=f ′·g+f·g′

f=x+1, g=cos(x)

=ddx (x+1)cos(x)+ddx (cos(x))(x+1)

ddx (x+1)=1

ddx (cos(x))=−sin(x)

=1· cos(x)+(−sin(x))(x+1)

Vereinfache

=cos(x)−sin(x)(x+1)

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

injective y=sqrt(x)

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