Question 4 Compute, step-by-step, the first and second derivatives and the maximum value of each function on the given domain. You may assume that the maximum points exist in all cases. (1) f(r) = r - 3r? + 5, z€ [1,3] (2) f(z) = (r + 1)-, r€ (0, 2] (3) f(x) = -e + 2e +2, r€ (-x, ) %3D (4) f(r) = - In(z* + 4.r + 5), r€ (-x, )

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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part 4

Question 4
Compute, step-by-step, the first and second derivatives and the maximum value of each
function on the given domain. You may assume that the maximum points exist in all
cases.
(1) f(z) = r - 3r + 5, z€ [1,3]
%3D
(2) f(r) = (x + 1)-, re (0, 2]
(3) f(x) = -e + 2e" + 2, r€ (-0, o0)
(4) f(r) = - In(x* + 4.x² + 5), r€ (-x0, 0)
Transcribed Image Text:Question 4 Compute, step-by-step, the first and second derivatives and the maximum value of each function on the given domain. You may assume that the maximum points exist in all cases. (1) f(z) = r - 3r + 5, z€ [1,3] %3D (2) f(r) = (x + 1)-, re (0, 2] (3) f(x) = -e + 2e" + 2, r€ (-0, o0) (4) f(r) = - In(x* + 4.x² + 5), r€ (-x0, 0)
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