Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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Find the derivative of the inverse of the function f(x) = x* – 5x² +1, for 0<x<2,
at the point (-3,1) on the graph of the inverse function. You do not need to find f.
4.
Transcribed Image Text:Find the derivative of the inverse of the function f(x) = x* – 5x² +1, for 0<x<2, at the point (-3,1) on the graph of the inverse function. You do not need to find f. 4.
Expert Solution
Step 1

To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1),

where (-3,1) is (f(1),1) or (-3,f-1(-3)) because f(1)=-3

Note that ddxf-1(x)=1f'(f-1(x))

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