2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the following a) Find f'(x) and write the equation f'(x) = 0 (by definition of C.P.) Simplify that equation as much as you can writing the linear part on the left-hand side and the trigonometric part on the right-hand side b) This equation cannot be solved algebraically, instead draw both the graph of the left-hand side of the equation and the graph of the right-hand side of the equation on the system of coordinates given below (Use your calculator if you need to) c) How many intersection points will there be for those two graphs? Find one of them (by inspection) d) How can you use those intersection points to answer the question about the Critical Points of the function f(x)? 42 Et
2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the following a) Find f'(x) and write the equation f'(x) = 0 (by definition of C.P.) Simplify that equation as much as you can writing the linear part on the left-hand side and the trigonometric part on the right-hand side b) This equation cannot be solved algebraically, instead draw both the graph of the left-hand side of the equation and the graph of the right-hand side of the equation on the system of coordinates given below (Use your calculator if you need to) c) How many intersection points will there be for those two graphs? Find one of them (by inspection) d) How can you use those intersection points to answer the question about the Critical Points of the function f(x)? 42 Et
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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The given function is :
Now finding the derivative :
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