For f (x) = Vx – 3 +1 Find the derivative function of f' Evaluate the derivative at x = 4 Find the equation of the tangent line to f at the point (4, 2) Find the derivative of the inverse function of f at the point (2, 4) written as (f-1)'(2) or f-) x=2 hint: use the method which makes use of the value you found in part (b) Find the equation of the tangent line to f-1 at the point (2, 4) Find the inverse function of f

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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For f (x) = Vx – 3+1
Find the derivative function of f'
Evaluate the derivative at x = 4
Find the equation of the tangent line to f at the point (4, 2)
Find the derivative of the inverse function of f at the point (2, 4) written as (f-1)'(2) or f-)| x=2
hint: use the method which makes use of the value you found in part (b)
Find the equation of the tangent line to f-1 at the point (2, 4)
Find the inverse function of f
Transcribed Image Text:For f (x) = Vx – 3+1 Find the derivative function of f' Evaluate the derivative at x = 4 Find the equation of the tangent line to f at the point (4, 2) Find the derivative of the inverse function of f at the point (2, 4) written as (f-1)'(2) or f-)| x=2 hint: use the method which makes use of the value you found in part (b) Find the equation of the tangent line to f-1 at the point (2, 4) Find the inverse function of f
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