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points of d'intersection x^3

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

☐²

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^□√☐

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∫

ddx

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

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ddx (x²sin(x³))

Solution

2xsin(x³)+3x⁴cos(x³)

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ddx (x²sin(x³))

Appliquer la règle du produit: (f·g)′=f ′·g+f·g′

f=x², g=sin(x³)

=ddx (x²)sin(x³)+ddx (sin(x³))x²

ddx (x²)=2x

ddx (sin(x³))=cos(x³)· 3x²

=2xsin(x³)+cos(x³)· 3x²x²

cos(x³)· 3x²x²=3x⁴cos(x³)

=2xsin(x³)+3x⁴cos(x³)

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

points of d'intersection x^3

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