Let f(x) = 8x3 + x − 2. Find the derivative of f-1 by using the formula dy dx == 1 dx' dy — - and check your result by differentiating implicitly. (f-1)(y) = 1 24x2+1
Let f(x) = 8x3 + x − 2. Find the derivative of f-1 by using the formula dy dx == 1 dx' dy — - and check your result by differentiating implicitly. (f-1)(y) = 1 24x2+1
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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![Let f(x) = 8x3 + x − 2. Find the derivative of f-1 by using the formula
dy
dx
==
1
dx'
dy
— -
and check your result by differentiating implicitly.
(f-1)(y) =
1
24x2+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F342015f0-19e8-40cd-98ef-dc8b52ff501d%2F36fb8490-6e21-4c84-a2b6-8db98c6c19b5%2Fssx46xm_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = 8x3 + x − 2. Find the derivative of f-1 by using the formula
dy
dx
==
1
dx'
dy
— -
and check your result by differentiating implicitly.
(f-1)(y) =
1
24x2+1
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