Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse function, f-1 (x) (c) Enter the compound function f' (ƒ-'(x))

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...
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Given the function f (x) =/a2 +1, x € [0,1]
(a) Enter f' (x)
x*(x^2+1)^(-1/2)
(b) Enter the inverse function, f- (x)
(c) Enter the compound function f' (f¬l(x))
(d) Enter the derivative 4f-1 (æ)
dx
(e) Multiply the last two answers together, and simplify the result
Transcribed Image Text:Given the function f (x) =/a2 +1, x € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse function, f- (x) (c) Enter the compound function f' (f¬l(x)) (d) Enter the derivative 4f-1 (æ) dx (e) Multiply the last two answers together, and simplify the result
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