Compute, step-by-step, the first and second derivatives and the maximum valu function on the given domain. You may assume that the maximum points ex cases. (1) f(r) = r - 3r + 5, z€ [1,3] (2) f(z) = (* + 1)-1, rE (0.2] (3) f(r) = -e +2e +2, r€ (-x, ox) (4) f(r) = - In(r* + 4r + 5), r€ (-xo, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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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