Use any method to find the relative extrema of the function f. f(x) = 20e2= – 5e". Use the notation (a, b) to give the points. If there is no relative maximum or minimum, indicate that using the check box. NOTE: Enter the exact answers. ƒ has a relative maximum at the point (?, ?) O No relative maxinum f has a relative minimum at the point (?, ?) | No relative minimum

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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Use any method to find the relative extrema of the function f.
f(x) = 20e2= – 5e".
Use the notation (a, b) to give the points.
If there is no relative maximum or minimum,
indicate that using the check box.
NOTE: Enter the exact answers.
ƒ has a relative maximum at the point (?, ?)
O No relative maxinum
f has a relative minimum at the point (?, ?)
| No relative minimum
Transcribed Image Text:Use any method to find the relative extrema of the function f. f(x) = 20e2= – 5e". Use the notation (a, b) to give the points. If there is no relative maximum or minimum, indicate that using the check box. NOTE: Enter the exact answers. ƒ has a relative maximum at the point (?, ?) O No relative maxinum f has a relative minimum at the point (?, ?) | No relative minimum
Hint
Assistance Used
Suppose that f is twice differentiable at the point xo.
(a) If f' (xo) = 0 and f" (xo) > 0, then f has a relative minimum at to.
(b) If f' (xa) = 0 andf (xo) < 0, then f has a relative maximum at xo.
(c) If f' (xo) = 0 andf (xo) = 0, then the test is inconclusive; that is, f may have a relative maximum, a relative minimum, or
neither at xo.
Transcribed Image Text:Hint Assistance Used Suppose that f is twice differentiable at the point xo. (a) If f' (xo) = 0 and f" (xo) > 0, then f has a relative minimum at to. (b) If f' (xa) = 0 andf (xo) < 0, then f has a relative maximum at xo. (c) If f' (xo) = 0 andf (xo) = 0, then the test is inconclusive; that is, f may have a relative maximum, a relative minimum, or neither at xo.
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