Which of the following is true about a differentiable function f(x) whose inverse is g(x). og (2) = 7(g(x)) O g(x) = -f()) f(g(x)) #0 O g(x) = f(g(x)) Og'(x) = -f(g(x)) f' (g(x)) # 0

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Question 35
Which of the following is true about a differentiable function f(x) whose inverse is g(x).
Og' (2) =
1
O g(x) =
f(g(z))*
Og'(x) = f(g(x))
Og'(x) = -f(g(x))
<< Previous
· ƒ' (g(x)) # 0
f' (g(x)) #0
Transcribed Image Text:Question 35 Which of the following is true about a differentiable function f(x) whose inverse is g(x). Og' (2) = 1 O g(x) = f(g(z))* Og'(x) = f(g(x)) Og'(x) = -f(g(x)) << Previous · ƒ' (g(x)) # 0 f' (g(x)) #0
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