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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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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