derivative of (10/(x-5))

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

☐²

x^☐

√☐

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ddx

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

simplify solve for inverse tangent line

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ddx (10x−5 )

Solution

−10(x−5)²

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ddx (10x−5 )

Take the constant out: (a·f)′=a·f ′

=10ddx (1x−5 )

Apply exponent rule: 1a =a⁻¹

=10ddx ((x−5)⁻¹)

Apply the chain rule: −1(x−5)² ddx (x−5)

=−1(x−5)² ddx (x−5)

ddx (x−5)=1

=10(−1(x−5)² · 1)

Simplify 10(−1(x−5)² · 1): −10(x−5)²

=−10(x−5)²

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

derivative of (10/(x-5))

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