3. Consider the function (a) Find the derivative f'. (b) At what values of z ia l(2) undefined? (e) At what values of z is f'(z) = 0?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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3. Consider the function
2r +1
S(1) =
* +2
(a) Find the derivative s'.
(b) At what values of z is f'(2) undefined?
(e) At what values of z is f'(2) = 0?
(d) The values of z in parts (b) and (e) are the critical points of f. Plot them on the following number
line:
S is
Choose sample points in between each of the critical points, and determine whether f' is positive
or negative at these sample points. Use this to determine the intervals on which f is increasing
and decreasing.
(*) Classify each eritical point as a local maximum, local minimum, or neither.
Transcribed Image Text:3. Consider the function 2r +1 S(1) = * +2 (a) Find the derivative s'. (b) At what values of z is f'(2) undefined? (e) At what values of z is f'(2) = 0? (d) The values of z in parts (b) and (e) are the critical points of f. Plot them on the following number line: S is Choose sample points in between each of the critical points, and determine whether f' is positive or negative at these sample points. Use this to determine the intervals on which f is increasing and decreasing. (*) Classify each eritical point as a local maximum, local minimum, or neither.
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