Log Power Rule Calculator

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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`^☐
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Steps Examples

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ddx (20x¹⁹+7x−108x−8 )

Solution

360x¹⁹−380x¹⁸+38(x−1)²

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Solution steps

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ddx (20x¹⁹+7x−108x−8 )

Appliquer la règle du quotient: (fg )^′=f ′·g−g′·fg²

=ddx (20x¹⁹+7x−10)(8x−8)−ddx (8x−8)(20x¹⁹+7x−10)(8x−8)²

ddx (20x¹⁹+7x−10)=380x¹⁸+7

ddx (8x−8)=8

=(380x¹⁸+7)(8x−8)−8(20x¹⁹+7x−10)(8x−8)²

Simplifier (380x¹⁸+7)(8x−8)−8(20x¹⁹+7x−10)(8x−8)² : 360x¹⁹−380x¹⁸+38(x−1)²

=360x¹⁹−380x¹⁸+38(x−1)²

Log Power Rule Examples

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Notebook

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

Log Power Rule Calculator

Solution

Solution steps

Number Line

Graph

5	7
4	1
−1	6