Problem 4: Consider f(x) = xln r. (No work is required for this problem.) (a) What is the largest number a > 0 such that ƒ is injective on (0, a]? (b) Let the domain of f be (0, a) (with a as in the part above). What is the domain of f-1? (c) Is f- differentiable on its domain? Why or why not? (d) What is (f¯')' (-3e¬³)?
Problem 4: Consider f(x) = xln r. (No work is required for this problem.) (a) What is the largest number a > 0 such that ƒ is injective on (0, a]? (b) Let the domain of f be (0, a) (with a as in the part above). What is the domain of f-1? (c) Is f- differentiable on its domain? Why or why not? (d) What is (f¯')' (-3e¬³)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 44E
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Problem 4: Consider f (x) = x ln x.
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