Using the derivatives of In x, tell in a complete sentence why Inr is increasing, and why its graph is concave downward.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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2. (a) Using the derivatives of In x, tell in a complete sentence why Inc is increasing, and why its graph
is concave downward.
(b) Let y = 10100. Using the fact that In 10 2.3026, find an (approximate) numerical value of In y.
(c) Again using In 10 2.3026, find an integer z such that In z > 1,000, 000. (Together with part (a),
this should convince one that limr+o In x = oo.)
(d) Again using In 10 2.3026, find a number w such that In w < -1, 000.
Transcribed Image Text:2. (a) Using the derivatives of In x, tell in a complete sentence why Inc is increasing, and why its graph is concave downward. (b) Let y = 10100. Using the fact that In 10 2.3026, find an (approximate) numerical value of In y. (c) Again using In 10 2.3026, find an integer z such that In z > 1,000, 000. (Together with part (a), this should convince one that limr+o In x = oo.) (d) Again using In 10 2.3026, find a number w such that In w < -1, 000.
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