Verify that f has an inverse function. Then use the function f and the given real number a to find (f-1¹)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE. f(x) = x³-3, a = 61 (f-1)'(61) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Verify that f has an inverse function. Then use the function f and the given real number a to find (f−¹)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.)
f(x) = x³ – 3,
a = 61
(F-¹)'(61) =
Transcribed Image Text:Verify that f has an inverse function. Then use the function f and the given real number a to find (f−¹)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) f(x) = x³ – 3, a = 61 (F-¹)'(61) =
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Step 1: given

The given function is 

f left parenthesis x right parenthesis equals x cubed minus 3

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Verify that f has an inverse function. Then use the function f and the given real number a to find (f−¹)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.)
f(x) = x³ – 3,
a = 61
(f-¹)'(61) = 4
X
Transcribed Image Text:Verify that f has an inverse function. Then use the function f and the given real number a to find (f−¹)'(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) f(x) = x³ – 3, a = 61 (f-¹)'(61) = 4 X
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