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Derivative of an Inverse Function

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Let $f$ be a one-to-one function and let $g$ be its inverse. If $f(2) = 18$ and $f'(2) = 32$ , what is the value of $g'(18)$ ?

A

$32$

B

$\frac{1}{16}$

C

$\frac{1}{32}$

D

$\frac{1}{4}$

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Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	haneesh19.12	2	2	0m 00s	200
#2	103411aa	2	2	0m 31s	169
#3	adhrooster	1	1	0m 00s	100
#4	ratankboth	1	1	0m 00s	100
#5	ziyawind9	1	1	0m 00s	100
#6	sgarv2513	1	1	0m 00s	100
#7	aurorachris0601	1	1	0m 23s	77
#8	psak12	1	1	0m 31s	69
#9	choiwonryeol	1	1	0m 31s	69
#10	manyab1708	1	1	2m 25s	-45

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