1. Let f (x) = ln(-x). a. What is its domain? b. Find and simplify its derivative. How does this derivative compare to the derivative of ln(x)? c. Does it make sense for the region bounded by y = – and the x-axis for –2 < x <-1 to have area? If so, find it. If not, explain why not.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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1. Let f (x) = ln(-x).
a. What is its domain?
b. Find and simplify its derivative. How does this derivative compare to the derivative of ln(x)?
c. Does it make sense for the region bounded by y =
- and the x-axis for –2 < x<-1 to have area? If so, find it.
If not, explain why not.
Transcribed Image Text:1. Let f (x) = ln(-x). a. What is its domain? b. Find and simplify its derivative. How does this derivative compare to the derivative of ln(x)? c. Does it make sense for the region bounded by y = - and the x-axis for –2 < x<-1 to have area? If so, find it. If not, explain why not.
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