1. Consider the function f(x) 24 1.625, a 0. 8 %3D 2x (a) Find f'(x). (b) Calculate f(1). (c) Find f'(1). (d) Sketch the graph of f(x), for -3

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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Question
24
Consider the function f(x)
2x
- 1.625, a 0.
8.
-
(a) Find f'(x).
(b) Calculate f(1).
(c) Find f'(1).
(d) Sketch the graph of f(x), for -3 <x <3 and -3 <y < 7.
(e) Draw the tangent line, A, to the graph of y = f(x) at the point a = 1.
%3D
(f) Find the equation of the tangent line A.
(g) The graph of y = f(x) and the tangent line A have a second intersection at point K.
Use your graphic display calculator to find the x-coordinate of K.
%3D
Transcribed Image Text:24 Consider the function f(x) 2x - 1.625, a 0. 8. - (a) Find f'(x). (b) Calculate f(1). (c) Find f'(1). (d) Sketch the graph of f(x), for -3 <x <3 and -3 <y < 7. (e) Draw the tangent line, A, to the graph of y = f(x) at the point a = 1. %3D (f) Find the equation of the tangent line A. (g) The graph of y = f(x) and the tangent line A have a second intersection at point K. Use your graphic display calculator to find the x-coordinate of K. %3D
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