21. Find the indicated quantities for the function y = f(x)= 2x2 +5 (a) The change in y if r changes from 1 to 3 (b) The average rate of change of y with respect to x if e changes from 1 to 3 (c) The slope of the secant line through the points (1, f(1)) and (3, f(3)) (d) The rate of change of y with respect to x at x =1 (e) The slope of the tangent line to the graph of y = f(x) at x 1 (f) f'(1)
21. Find the indicated quantities for the function y = f(x)= 2x2 +5 (a) The change in y if r changes from 1 to 3 (b) The average rate of change of y with respect to x if e changes from 1 to 3 (c) The slope of the secant line through the points (1, f(1)) and (3, f(3)) (d) The rate of change of y with respect to x at x =1 (e) The slope of the tangent line to the graph of y = f(x) at x 1 (f) f'(1)
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
![21. Find the indicated quantities for the function y = f(x)= 2x2 +5
(a) The change in y if r changes from 1 to 3
(b) The average rate of change of y with respect to x if e changes from
1 to 3
(c) The slope of the secant line through the points (1, f(1)) and (3, f(3))
(d) The rate of change of y with respect to x at x =1
(e) The slope of the tangent line to the graph of y = f(x) at x 1
(f) f'(1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a5ae68f-9b8c-40fd-acc4-5e8548032b37%2Ff5ed9f94-87a6-43df-9627-89476fb766ae%2Fde3j7ko.png&w=3840&q=75)
Transcribed Image Text:21. Find the indicated quantities for the function y = f(x)= 2x2 +5
(a) The change in y if r changes from 1 to 3
(b) The average rate of change of y with respect to x if e changes from
1 to 3
(c) The slope of the secant line through the points (1, f(1)) and (3, f(3))
(d) The rate of change of y with respect to x at x =1
(e) The slope of the tangent line to the graph of y = f(x) at x 1
(f) f'(1)
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