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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 19CR
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pls solve

 

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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,