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gamme 6ln(x)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

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domaine indéfini log₇(7x)

Solution

x>0

Interval Notation

(0, ∞ )

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Solution steps

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ddx (15xcos(x))

Retirer la constante: (a·f)′=a·f ′

=15ddx (xcos(x))

Appliquer la règle du produit: (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)

Simplifier

=15(cos(x)−xsin(x))

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

gamme 6ln(x)

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