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concavity f(x)=ln(x-5)

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concavity f(x)=ln(x−5)

Solution

Concave Downward:5<x<∞

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Concavity intervals definition

If f ′′(x)>0 then f(x) concave upwards.
If f ′′(x)<0 then f(x) concave downwards.

f ′′(x)=−1(x−5)²

Find intervals: Concave Downward:5<x<∞

Concave Downward:5<x<∞

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domain ln(x−5)

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

concavity f(x)=ln(x-5)

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