Let f(x) = (ƒ¯¹)'(x) = 6 x+4 1 . Find (f)(x) using the formula ƒ'(ƒ¯¹(x))' and check your answer by differentiating f-1 directly.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x)
(ƒ-¹)'(x)
directly.
=
=
6
x +4
1
Find (f¹)'(x) using the formula
f'(f−¹(x))
,
and check your answer by differentiating f-1
(ƒ¯¹)'(x) =
1
f'(ƒ¯¹(x))
Transcribed Image Text:Let f(x) (ƒ-¹)'(x) directly. = = 6 x +4 1 Find (f¹)'(x) using the formula f'(f−¹(x)) , and check your answer by differentiating f-1 (ƒ¯¹)'(x) = 1 f'(ƒ¯¹(x))
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