Hello there, please help me with answering this question, I am a bit confused here. Please help by answering all parts of the question clearly with explanation. Also, please read the question carefully because sometimes my questions are answered incorrectly and unfortunately I do not recieve a refund for it. Please answer with legible handwritting as well. Thank you very much, Thumbs up always given for correct answers! (:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hello there, please help me with answering this question, I am a bit confused here. Please help by answering all parts of the question clearly with explanation. Also, please read the question carefully because sometimes my questions are answered incorrectly and unfortunately I do not recieve a refund for it. Please answer with legible handwritting as well. Thank you very much, Thumbs up always given for correct answers! (:
4. Using desmos.com/calculator plot the graph of the natural logarithm function
f(x) = In(x). Now think about the slope of the tangent line to this curve for x in (0, inf). What is
the slope closer to when x is close to 0? Where does it increase and where does it decrease?
Can you use this to guess what the derivative (aka function that gives slope of the tangent) is?
Transcribed Image Text:4. Using desmos.com/calculator plot the graph of the natural logarithm function f(x) = In(x). Now think about the slope of the tangent line to this curve for x in (0, inf). What is the slope closer to when x is close to 0? Where does it increase and where does it decrease? Can you use this to guess what the derivative (aka function that gives slope of the tangent) is?
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